Results for 'Yaa’cov Peterzil'

46 found
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  1.  11
    A Descending Chain Condition for Groups Definable in o -Minimal Structures.Alessandro Berarducci, Margarita Otero, Yaa’cov Peterzil & Anand Pillay - 2005 - Annals of Pure and Applied Logic 134 (2):303-313.
    We prove that if G is a group definable in a saturated o-minimal structure, then G has no infinite descending chain of type-definable subgroups of bounded index. Equivalently, G has a smallest type-definable subgroup G00 of bounded index and G/G00 equipped with the “logic topology” is a compact Lie group. These results give partial answers to some conjectures of the fourth author.
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  2.  10
    A Theory of Pairs for Non-Valuational Structures.Elitzur Bar-Yehuda, Assaf Hasson & Ya’Acov Peterzil - 2019 - Journal of Symbolic Logic 84 (2):664-683.
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  3.  16
    Returning to Semi-Bounded Sets.Ya'acov Peterzil - 2009 - Journal of Symbolic Logic 74 (2):597-617.
    An o-minimal expansion of an ordered group is called semi-bounded if there is no definable bijection between a bounded and an unbounded interval in it (equivalently, it is an expansion of the group by bounded predicates and group automorphisms). It is shown that every such structure has an elementary extension.
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  4.  10
    Definable Homomorphisms of Abelian Groups in o-Minimal Structures.Ya'acov Peterzil & Sergei Starchenko - 1999 - Annals of Pure and Applied Logic 101 (1):1-27.
    We investigate the group of definable homomorphisms between two definable abelian groups A and B, in an o-minimal structure . We prove the existence of a “large”, definable subgroup of . If contains an infinite definable set of homomorphisms then some definable subgroup of B admits a definable multiplication, making it into a field. As we show, all of this can be carried out not only in the underlying structure but also in any structure definable in.
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  5. Quasi-o-Minimal Structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
    A structure (M, $ ,...) is called quasi-o-minimal if in any structure elementarily equivalent to it the definable subsets are exactly the Boolean combinations of 0-definable subsets and intervals. We give a series of natural examples of quasi-o-minimal structures which are not o-minimal; one of them is the ordered group of integers. We develop a technique to investigate quasi-o-minimality and use it to study quasi-o-minimal ordered groups (possibly with extra structure). Main results: any quasi-o-minimal ordered group is abelian; any quasi-o-minimal (...)
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  6.  19
    Interpretable Groups Are Definable.Pantelis E. Eleftheriou, Ya'acov Peterzil & Janak Ramakrishnan - 2014 - Journal of Mathematical Logic 14 (1):1450002.
  7.  4
    Definable One-Dimensional Topologies in O-Minimal Structures.Ya’Acov Peterzil & Ayala Rosel - forthcoming - Archive for Mathematical Logic:1-23.
    We consider definable topological spaces of dimension one in o-minimal structures, and state several equivalent conditions for when such a topological space \ \) is definably homeomorphic to an affine definable space with the induced subspace topology). One of the main results says that it is sufficient for X to be regular and decompose into finitely many definably connected components.
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  8.  33
    A Structure Theorem for Semibounded Sets in the Reals.Ya'acov Peterzil - 1992 - Journal of Symbolic Logic 57 (3):779-794.
  9.  17
    Additive Reducts of Real Closed Fields.David Marker, Ya'acov Peterzil & Anand Pillay - 1992 - Journal of Symbolic Logic 57 (1):109-117.
  10.  96
    Scope Dominance with Upward Monotone Quantifiers.Alon Altman, Ya'Acov Peterzil & Yoad Winter - 2005 - Journal of Logic, Language and Information 14 (4):445-455.
    We give a complete characterization of the class of upward monotone generalized quantifiers Q1 and Q2 over countable domains that satisfy the scheme Q1 x Q2 y φ → Q2 y Q1 x φ. This generalizes the characterization of such quantifiers over finite domains, according to which the scheme holds iff Q1 is ∃ or Q2 is ∀ (excluding trivial cases). Our result shows that in infinite domains, there are more general types of quantifiers that support these entailments.
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  11.  26
    Reducts of Some Structures Over the Reals.Ya′Acov Peterzil - 1993 - Journal of Symbolic Logic 58 (3):955-966.
    We consider reducts of the structure $\mathscr{R} = \langle\mathbb{R}, +, \cdot, <\rangle$ and other real closed fields. We compete the proof that there exists a unique reduct between $\langle\mathbb{R}, +, <, \lambda_a\rangle_{a\in\mathbb{R}}$ and R, and we demonstrate how to recover the definition of multiplication in more general contexts than the semialgebraic one. We then conclude a similar result for reducts between $\langle\mathbb{R}, \cdot, <\rangle$ and R and for general real closed fields.
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  12.  12
    G-Linear Sets and Torsion Points in Definably Compact Groups.Margarita Otero & Ya’Acov Peterzil - 2009 - Archive for Mathematical Logic 48 (5):387-402.
    Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G\X) < dim G for some definable ${X \subseteq G}$ then X contains a torsion point of G. Along the way we develop a general theory for the so-called G-linear sets, and investigate definable sets which contain abstract subgroups of G.
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  13.  12
    Expansions of Algebraically Closed Fields II: Functions of Several Variables.Ya'acov Peterzil & Sergei Starchenko - 2003 - Journal of Mathematical Logic 3 (01):1-35.
  14.  27
    Geometry, Calculus and Zil'ber's Conjecture.Ya'acov Peterzil & Sergei Starchenko - 1996 - Bulletin of Symbolic Logic 2 (1):72-83.
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  15.  17
    A Question of Van Den Dries and a Theorem of Lipshitz and Robinson; Not Everything Is Standard.Ehud Hrushovski & Ya'acov Peterzil - 2007 - Journal of Symbolic Logic 72 (1):119 - 122.
    We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.
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  16.  6
    A Note on Stable Sets, Groups, and Theories with NIP.Alf Onshuus & Ya'acov Peterzil - 2007 - Mathematical Logic Quarterly 53 (3):295-300.
    Let M be an arbitrary structure. Then we say that an M -formula φ defines a stable set inM if every formula φ ∧ α is stable. We prove: If G is an M -definable group and every definable stable subset of G has U -rank at most n , then G has a maximal connected stable normal subgroup H such that G /H is purely unstable. The assumptions hold for example if M is interpretable in an o-minimal structure.More generally, (...)
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  17.  8
    Euler Characteristic of Imaginaries in o-Minimal Structures.Sofya Kamenkovich & Ya'acov Peterzil - 2017 - Mathematical Logic Quarterly 63 (5):376-383.
    We define the notion of Euler characteristic for definable quotients in an arbitrary o-minimal structure and prove some fundamental properties.
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  18.  8
    Lattices in Locally Definable Subgroups of $langleR^{N},+Rangle$.Pantelis E. Eleftheriou & Ya’Acov Peterzil - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):449-461.
    Let $\mathcal{M}$ be an o-minimal expansion of a real closed field $R$. We define the notion of a lattice in a locally definable group and then prove that every connected, definably generated subgroup of $\langle R^{n},+\rangle$ contains a definable generic set and therefore admits a lattice.
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  19.  6
    Phoenix Civic Plaza, Phoenix, Arizona, January 9–10, 2004.Matthew Foreman, Steve Jackson, Julia Knight, R. W. Knight, Steffen Lempp, Françoise Point, Kobi Peterzil, Leonard Schulman, Slawomir Solecki & Carol Wood - 2004 - Bulletin of Symbolic Logic 10 (2).
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  20.  3
    Zilber's Conjecture for Some o-Minimal Structures Over the Reals.Ya'acov Peterzil - 1993 - Annals of Pure and Applied Logic 61 (3):223-239.
    We formulate an analogue of Zilber's conjecture for o-minimal structures in general, and then prove it for a class of o-minimal structures over the reals. We conclude in particular that if is an ordered reduct of ,<,+,·,ex whose theory T does not have the CF property then, given any model of T, a real closed field is definable on a subinterval of.
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  21.  6
    Ya'acov Peterzil and Sergei Starchenko, A Trichotomy Theorem for o-Minimal Structures, Proceedings of the London Mathematical Society, Ser. 3 Vol. 77 , Pp. 481–523. [REVIEW]Dugald Macpherson - 1999 - Journal of Symbolic Logic 64 (2):908-910.
  22.  5
    Model Theory, Keisler Measures, and Groups - Ehud Hrushovski, Ya’Acov Peterzil and Anand Pillay, Groups, Measures, and the NIP. Journal of the American Mathematical Society, Vol. 21 , No. 2, Pp. 563–596. - Ehud Hrushovski and Anand Pillay, On NIP and Invariant Measures. Journal of the European Mathematical Society, Vol.13 , No. 4, Pp. 1005–1061. - Ehud Hrushovski, Anand Pillay, and Pierre Simon, Generically Stable and Smooth Measures in NIP Theories. Transactions of the American Mathematical Society, Vol. 365 , No. 5, Pp. 2341–2366. [REVIEW]Artem Chernikov - 2018 - Bulletin of Symbolic Logic 24 (3):336-339.
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  23.  4
    Factors Influencing Emergency Nurses’ Ethical Problems During the Outbreak of MERS-CoV.Choi Jeong-Sil & Kim Ji-Soo - forthcoming - Nursing Ethics:096973301664820.
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  24.  5
    COV&R Activities at the AAR Meeting 2010 in Atlanta, GA.Nikolaus Wandinger - 2011 - The Bulletin of the Colloquium on Violence and Religion 38:8-9.
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  25.  5
    COV&R at the AAR/SBL 2006.Nikolaus Wandinger - 2007 - The Bulletin of the Colloquium on Violence and Religion 30:8-10.
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  26.  4
    COV&R Meeting at the AAR in Chicago 2008.Nikolaus Wandinger - 2009 - The Bulletin of the Colloquium on Violence and Religion 34:9-10.
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  27.  8
    Review: Ya'acov Peterzil, Sergei Starchenko, A Trichotomy Theorem for O-Minimal Structures. [REVIEW]Dugald Macpherson - 1999 - Journal of Symbolic Logic 64 (2):908-910.
  28.  3
    COV&R Activities at the AAR Meeting 2009 in Montreal, Quebec.Nikolaus Wandinger - 2010 - The Bulletin of the Colloquium on Violence and Religion 36:6-8.
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  29.  1
    Cov, the Underspecified Noun, and Syntactic Flexibility in Hmong.Martha Ratliff - 1991 - Journal of the American Oriental Society 111 (4):694-703.
  30. Stable Ordered Union Ultrafilters and Cov.David J. Fernández-bretón - forthcoming - Journal of Symbolic Logic:1-13.
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  31. Back to Brentano?Dan Zahavi - 2004 - Journal of Consciousness Studies 11 (10-11):66-87.
    For a cou ple of decades, higher-order the o ries of con scious ness have enjoyed great pop u lar ity, but they have recently been met with grow ing dis sat is - fac tion. Many have started to look else where for via ble alter na tives, and within the last few years, quite a few have redis cov ered Brentano. In this paper such a Brentanian one-level account of con scious ness will be out lined and dis (...)
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  32.  32
    On Lovely Pairs of Geometric Structures.Alexander Berenstein & Evgueni Vassiliev - 2010 - Annals of Pure and Applied Logic 161 (7):866-878.
    We study the theory of lovely pairs of geometric structures, in particular o-minimal structures. We use the pairs to isolate a class of geometric structures called weakly locally modular which generalizes the class of linear structures in the settings of SU-rank one theories and o-minimal theories. For o-minimal theories, we use the Peterzil–Starchenko trichotomy theorem to characterize for a sufficiently general point, the local geometry around it in terms of the thorn U-rank of its type inside a lovely pair.
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  33.  5
    Creature Forcing and Five Cardinal Characteristics in Cichoń’s Diagram.Arthur Fischer, Martin Goldstern, Jakob Kellner & Saharon Shelah - 2017 - Archive for Mathematical Logic 56 (7-8):1045-1103.
    We use a creature construction to show that consistently $$\begin{aligned} \mathfrak d=\aleph _1= {{\mathrm{cov}}}< {{\mathrm{non}}}< {{\mathrm{non}}}< {{\mathrm{cof}}} < 2^{\aleph _0}. \end{aligned}$$The same method shows the consistency of $$\begin{aligned} \mathfrak d=\aleph _1= {{\mathrm{cov}}}< {{\mathrm{non}}}< {{\mathrm{non}}}< {{\mathrm{cof}}} < 2^{\aleph _0}. \end{aligned}$$.
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  34. Generic Trees.Otmar Spinas - 1995 - Journal of Symbolic Logic 60 (3):705-726.
    We continue the investigation of the Laver ideal ℓ 0 and Miller ideal m 0 started in [GJSp] and [GRShSp]; these are the ideals on the Baire space associated with Laver forcing and Miller forcing. We solve several open problems from these papers. The main result is the construction of models for $t , where add denotes the additivity coefficient of an ideal. For this we construct amoeba forcings for these forcings which do not add Cohen reals. We show that (...)
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  35.  17
    Bounds for Covering Numbers.Andreas Liu - 2006 - Journal of Symbolic Logic 71 (4):1303 - 1310.
    Let Λ be a singular cardinal of uncountable confinality ψ. Under various assumptions about the sizes of covering families for cardinals below Λ, we prove upper bounds for the covering number cov(Λ, Λ, v⁺, 2). This covering number is closely related to the cofinality of the partial order ([Λ]", ⊆).
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  36.  40
    Once More About Aspects, Directions, General Patterns and Principles of Evolutionary Development.Leonid Grinin & Andrey Korotayev - 2015 - In Leonid Grinin & Andrey Korotayev (eds.), Evolution: From Big Bang to Nanorobots. Volgograd,Russia: Uchitel Publishing House. pp. 5-19.
    The present volume is the fourth issue of the Almanac series entitled ‘Evolu-tion’. Thus, one can maintain that our Almanac, which has actually turned into a Yearbook, has succeeded (see below). The title of the present volume is ‘From Big Bang to Nanorobots’. In this way we demonstrate that all phases of megaevolution and Big History are cov-ered in the articles of the present Yearbook. Several articles also present fore-casts about possible future developments. The main objective of our Yearbook as (...)
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  37.  5
    Hybrid Completeness.P. Blackburn & M. Tzakova - 1998 - Logic Journal of the IGPL 6 (4):625-650.
    In this paper we discuss two hybrid languages, ℒ and ℒ, and provide them with complete axiomatizations. Both languages combine features of modal and classical logic. Like modal languages, they contain modal operators and have a Kripke semantics. Unlike modal languages, in these systems it is possible to 'label' states by using A and ↓ to bind special state variables.This paper explores the consequences of hybridization for completeness. As we shall show, the challenge is to blend the modal idea of (...)
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  38.  7
    More on Simple Forcing Notions and Forcings with Ideals.M. Gitik & S. Shelah - 1993 - Annals of Pure and Applied Logic 59 (3):219-238.
    It is shown that cardinals below a real-valued measurable cardinal can be split into finitely many intervals so that the powers of cardinals from the same interval are the same. This generalizes a theorem of Prikry [9]. Suppose that the forcing with a κ-complete ideal over κ is isomorphic to the forcing of λ-Cohen or random reals. Then for some τ<κ, λτ2κ and λ2<κ implies that 2κ=2τ= cov. In particular, if 2κ<κ+ω, then λ=2κ. This answers a question from [3]. If (...)
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  39.  51
    Around Splitting and Reaping for Partitions of Ω.Hiroaki Minami - 2010 - Archive for Mathematical Logic 49 (4):501-518.
    We investigate splitting number and reaping number for the structure (ω) ω of infinite partitions of ω. We prove that ${\mathfrak{r}_{d}\leq\mathsf{non}(\mathcal{M}),\mathsf{non}(\mathcal{N}),\mathfrak{d}}$ and ${\mathfrak{s}_{d}\geq\mathfrak{b}}$ . We also show the consistency results ${\mathfrak{r}_{d} > \mathfrak{b}, \mathfrak{s}_{d} < \mathfrak{d}, \mathfrak{s}_{d} < \mathfrak{r}, \mathfrak{r}_{d} < \mathsf{add}(\mathcal{M})}$ and ${\mathfrak{s}_{d} > \mathsf{cof}(\mathcal{M})}$ . To prove the consistency ${\mathfrak{r}_{d} < \mathsf{add}(\mathcal{M})}$ and ${\mathfrak{s}_{d} < \mathsf{cof}(\mathcal{M})}$ we introduce new cardinal invariants ${\mathfrak{r}_{pair}}$ and ${\mathfrak{s}_{pair}}$ . We also study the relation between ${\mathfrak{r}_{pair}, \mathfrak{s}_{pair}}$ and other cardinal invariants. We show (...)
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  40.  49
    A Reduction Theorem for the Kripke–Joyal Semantics: Forcing Over an Arbitrary Category Can Always Be Replaced by Forcing Over a Complete Heyting Algebra. [REVIEW]Imants Barušs & Robert Woodrow - 2013 - Logica Universalis 7 (3):323-334.
    It is assumed that a Kripke–Joyal semantics \({\mathcal{A} = \left\langle \mathbb{C},{\rm Cov}, {\it F},\Vdash \right\rangle}\) has been defined for a first-order language \({\mathcal{L}}\) . To transform \({\mathbb{C}}\) into a Heyting algebra \({\overline{\mathbb{C}}}\) on which the forcing relation is preserved, a standard construction is used to obtain a complete Heyting algebra made up of cribles of \({\mathbb{C}}\) . A pretopology \({\overline{{\rm Cov}}}\) is defined on \({\overline{\mathbb{C}}}\) using the pretopology on \({\mathbb{C}}\) . A sheaf \({\overline{{\it F}}}\) is made up of sections of (...)
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  41.  31
    Luis Beltrán Prieto Figueroa: Maestro de la Democracia Venezolana.Lino E. Morán Beltrán - 2004 - Utopía y Praxis Latinoamericana 9 (25):59-73.
    This ar ti cle is part of the anal y sis of the his tory of ideas in Latin Amer ica, which is a field of thought that con trib utes to re cov er ing con tri bu tions from di verse fields of knowl edge, and which has been fo cused on by in tel lec tu als who con sider our iden tity to be a theme..
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  42.  27
    Antichains in Partially Ordered Sets of Singular Cofinality.Assaf Rinot - 2007 - Archive for Mathematical Logic 46 (5-6):457-464.
    In their paper from 1981, Milner and Sauer conjectured that for any poset $\langle P,\le\rangle$ , if $cf(P,\le)=\lambda>cf(\lambda)=\kappa$ , then P must contain an antichain of size κ. We prove that for λ > cf(λ) = κ, if there exists a cardinal μ < λ such that cov(λ, μ, κ, 2) = λ, then any poset of cofinality λ contains λ κ antichains of size κ. The hypothesis of our theorem is very weak and is a consequence of many well-known (...)
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  43.  25
    Beautiful Minds in Dialogue: The Correspondence Between René Girard and Raymund Schwager.Karin Peter & Nikolaus Wandinger - 2014 - Contagion: Journal of Violence, Mimesis, and Culture 21:23-27.
    The publication of the following four articles is the result of a Colloquium on Violence and Religion session at the American Academy of Religion annual meeting in Baltimore, Maryland, on November, 24, 2013.It is unbelievable, but on February 27, 2014, Raymund Schwager, SJ, the Innsbruck dogmatics professor and first president of the COV&R, will have been dead already for ten years. Sometime after his sudden death in 2004, his office had to be cleared out, and when this sad work was (...)
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  44.  17
    Some Remarks on Category of the Real Line.Kyriakos Keremedis - 1999 - Archive for Mathematical Logic 38 (3):153-162.
    We find a characterization of the covering number $cov({\mathbb R})$ , of the real line in terms of trees. We also show that the cofinality of $cov({\mathbb R})$ is greater than or equal to ${\mathfrak n}_\lambda$ for every $\lambda \in cov({\mathbb R}),$ where $\mathfrak n_\lambda \geq add({\mathcal L})$ ( $add( {\mathcal L})$ is the additivity number of the ideal of all Lebesgue measure zero sets) is the least cardinal number k for which the statement: $(\exists{\mathcal G}\in [^\omega \omega ]^{\leq \lambda (...)
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  45.  25
    Cardinal Invariants of Monotone and Porous Sets.Michael Hrušák & Ondřej Zindulka - 2012 - Journal of Symbolic Logic 77 (1):159-173.
    A metric space (X, d) is monotone if there is a linear order < on X and a constant c such that d(x, y) ≤ c d(x, z) for all x < y < z in X. We investigate cardinal invariants of the σ-ideal Mon generated by monotone subsets of the plane. Since there is a strong connection between monotone sets in the plane and porous subsets of the line, plane and the Cantor set, cardinal invariants of these ideals are (...)
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  46.  11
    Influence of Culturalvalue System and Home on Child-Rearing Practices in the Contemporary Nigerian Society.Mary Basil Nwoke - 2013 - Open Journal of Philosophy 3 (1):200.
    The study investigated influence of cultural values and home on child-rearing practices in Nigeria. Value systems are embedded in the culture of people. Culture is a set of shared values, attributes, customs and physical objects that are maintained by people in a specific setting. Cross-sectional design and qualitative technique was employed to obtain information from participants. Participants were sixteen adults (8 men, 8 women) from four ethnic groups: Igbo, Ogoni, Tiv and Yala. Findings showed that different cultures have their value (...)
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