Search results for 'Yegan Pillay' (try it on Scholar)

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  1.  21
    Yegan Pillay, Katherine K. Ziff & Christine Suniti Bhat (2008). Vedānta Personality Development: A Model to Enhance the Cultural Competence of Psychotherapists. [REVIEW] International Journal of Hindu Studies 12 (1):65-79.
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  2.  7
    Yegan Pillay (2010). Reconceiving Schizophrenia. Philosophical Psychology 23 (5):707-711.
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  3. Anand Pillay (1978). Number of Countable Models. Journal of Symbolic Logic 43 (3):492-496.
  4. D. Lascar & A. Pillay (2001). Hyperimaginaries and Automorphism Groups. Journal of Symbolic Logic 66 (1):127-143.
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  5. J. Y. Pillay (2004). Reflections of a Recycled Bureaucrat. Ethos: Journal of the Society for Psychological Anthropology 10 (1):10-13.
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  6.  4
    Byunghan Kim & Anand Pillay (1997). Simple Theories. Annals of Pure and Applied Logic 88 (2):149-164.
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  7. Bradd Hart, Byunghan Kim & Anand Pillay (2000). Coordinatisation and Canonical Bases in Simple Theories. Journal of Symbolic Logic 65 (1):293-309.
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  8.  3
    Jakub Gismatullin, Davide Penazzi & Anand Pillay (2014). On Compactifications and the Topological Dynamics of Definable Groups. Annals of Pure and Applied Logic 165 (2):552-562.
    For G a group definable in some structure M, we define notions of “definable” compactification of G and “definable” action of G on a compact space X , where the latter is under a definability of types assumption on M. We describe the universal definable compactification of G as View the MathML source and the universal definable G-ambit as the type space SG. We also point out the existence and uniqueness of “universal minimal definable G-flows”, and discuss issues of amenability (...)
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  9.  2
    Annalisa Conversano & Anand Pillay (2015). Connected Components of Definable Groups, and o-Minimality II. Annals of Pure and Applied Logic 166 (7-8):836-849.
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  10. Anand Pillay (2013). Topological Dynamics and Definable Groups. Journal of Symbolic Logic 78 (2):657-666.
    We give a commentary on Newelski's suggestion or conjecture [8] that topological dynamics, in the sense of Ellis [3], applied to the action of a definable group $G(M)$ on its “external type space” $S_{G,\textit{ext}}(M)$, can explain, account for, or give rise to, the quotient $G/G^{00}$, at least for suitable groups in NIP theories. We give a positive answer for measure-stable (or $fsg$) groups in NIP theories. As part of our analysis we show the existence of “externally definable” generics of $G(M)$ (...)
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  11. Anand Pillay (1987). First Order Topological Structures and Theories. Journal of Symbolic Logic 52 (3):763-778.
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  12. Anand Pillay (1980). Theories with Exactly Three Countable Models and Theories with Algebraic Prime Models. Journal of Symbolic Logic 45 (2):302-310.
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  13. A. Pillay & Ž Sokolović (1992). Superstable Differential Fields. Journal of Symbolic Logic 57 (1):97-108.
  14.  6
    Z. Chatzidakis & A. Pillay (1998). Generic Structures and Simple Theories. Annals of Pure and Applied Logic 95 (1-3):71-92.
    We study structures equipped with generic predicates and/or automorphisms, and show that in many cases we obtain simple theories. We also show that a bounded PAC field is simple. 1998 Published by Elsevier Science B.V. All rights reserved.
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  15. Anand Pillay (1986). Some Remarks on Definable Equivalence Relations in o-Minimal Structures. Journal of Symbolic Logic 51 (3):709-714.
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  16. Anand Pillay & Thomas Scanlon (2002). Compact Complex Manifolds with the DOP and Other Properties. Journal of Symbolic Logic 67 (2):737-743.
    We point out that a certain complex compact manifold constructed by Lieberman has the dimensional order property, and has U-rank different from Morley rank. We also give a sufficient condition for a Kahler manifold to be totally degenerate (that is, to be an indiscernible set, in its canonical language) and point out that there are K3 surfaces which satisfy these conditions.
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  17.  4
    Itay Ben-Yaacov, Anand Pillay & Evgueni Vassiliev (2003). Lovely Pairs of Models. Annals of Pure and Applied Logic 122 (1-3):235-261.
    We introduce the notion of a lovely pair of models of a simple theory T, generalizing Poizat's “belles paires” of models of a stable theory and the third author's “generic pairs” of models of an SU-rank 1 theory. We characterize when a saturated model of the theory TP of lovely pairs is a lovely pair , finding an analog of the nonfinite cover property for simple theories. We show that, under these hypotheses, TP is also simple, and we study forking (...)
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  18.  3
    Krzysztof Krupiński, Anand Pillay & Sławomir Solecki (2013). Borel Equivalence Relations and Lascar Strong Types. Journal of Mathematical Logic 13 (2):1350008.
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  19.  6
    Anand Pillay (2004). Type-Definability, Compact Lie Groups, and o-Minimality. Journal of Mathematical Logic 4 (02):147-162.
  20.  6
    W. Banzhaf & N. Pillay (2007). Why Complex Systems Engineering Needs Biological Development. Complexity 13 (2):12-21.
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  21.  2
    Clifton Ealy, Krzysztof Krupiński & Anand Pillay (2008). Superrosy Dependent Groups Having Finitely Satisfiable Generics. Annals of Pure and Applied Logic 151 (1):1-21.
    We develop a basic theory of rosy groups and we study groups of small Uþ-rank satisfying NIP and having finitely satisfiable generics: Uþ-rank 1 implies that the group is abelian-by-finite, Uþ-rank 2 implies that the group is solvable-by-finite, Uþ-rank 2, and not being nilpotent-by-finite implies the existence of an interpretable algebraically closed field.
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  22.  10
    Anand Pillay (2000). A Note on CM-Triviality and the Geometry of Forking. Journal of Symbolic Logic 65 (1):474-480.
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  23.  5
    Charlotte Kestner & Anand Pillay (2011). Remarks on Unimodularity. Journal of Symbolic Logic 76 (4):1453-1458.
    We clarify and correct some statements and results in the literature concerning unimodularity in the sense of Hrushovski [7], and measurability in the sense of Macpherson and Steinhorn [8], pointing out in particular that the two notions coincide for strongly minimal structures and that another property from [7] is strictly weaker, as well as "completing" Elwes' proof [5] that measurability implies 1-basedness for stable theories.
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  24.  8
    Andreas Baudisch & Anand Pillay (2000). A Free Pseudospace. Journal of Symbolic Logic 65 (1):443-460.
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  25.  12
    David Marker, Ya'Acov Peterzil & Anand Pillay (1992). Additive Reducts of Real Closed Fields. Journal of Symbolic Logic 57 (1):109-117.
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  26.  20
    E. Casanovas, D. Lascar, A. Pillay & M. Ziegler (2001). Galois Groups of First Order Theories. Journal of Mathematical Logic 1 (02):305-319.
  27.  8
    Byunghan Kim & Anand Pillay (1998). From Stability to Simplicity. Bulletin of Symbolic Logic 4 (1):17-36.
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  28.  10
    Anand Pillay (1992). Countable Models of 1-Based Theories. Archive for Mathematical Logic 31 (3):163-169.
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  29.  19
    B. Hart, A. Pillay & S. Starchenko (1995). 1-Based Theories — the Main Gap for a -Models. Archive for Mathematical Logic 34 (5):285-300.
    We prove the Main Gap for the class of a -models (sufficiently saturated models) of an arbitrary stable 1-based theory T . We (i) prove a strong structure theorem for a -models, assuming NDOP, and (ii) roughly compute the number of a -models of T in any given cardinality. The analysis uses heavily group existence theorems in 1-based theories.
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  30.  9
    Anand Pillay (1995). The Geometry of Forking and Groups of Finite Morley Rank. Journal of Symbolic Logic 60 (4):1251-1259.
    The notion of CM-triviality was introduced by Hrushovski, who showed that his new strongly minimal sets have this property. Recently Baudisch has shown that his new ω 1 -categorical group has this property. Here we show that any group of finite Morley rank definable in a CM-trivial theory is nilpotent-by-finite, or equivalently no simple group of finite Morley rank can be definable in a CM-trivial theory.
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  31.  16
    Anand Pillay & Bruno Poizat (1995). Corps Et Chirurgie. Journal of Symbolic Logic 60 (2):528-533.
    Les corps algébriquement clos, réels clos et pseudo-finis n'ont, pour chaque entier n, qu'un nombre fini d'extensions de degré n; nous montrons qu'ils partagent cette propriété avec tous les corps qui, comme eux, satisfont une propriété très rudimentaire de préservation de la dimension, de nature modèle-théorique. Ce résultat est atteint en montrant qu'une certaine action du groupe GLn d'un tel corps n'a qu'un nombre fini d'orbites. /// La korpoj algebre fermataj, reale fermataj kaj pseudofinataj ne havas, pri ciu integro n, (...)
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  32.  14
    Anand Pillay & Gabriel Srour (1984). Closed Sets and Chain Conditions in Stable Theories. Journal of Symbolic Logic 49 (4):1350-1362.
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  33. A. Nesin, A. Pillay & V. Razenj (1991). Groups of Dimension Two and Three Over o-Minimal Structures. Annals of Pure and Applied Logic 53 (3):279-296.
    Let G be a group definable in an o-minimal structure M. In this paper we show: Theorem. If G is a two-dimensional definably connected nonabelian group, then G is centerless and G is isomorphic to R+R*>0, for some real closed field R. Theorem. If G is a three-dimensional nonsolvable, centerless, definably connected group, then either G SO3 or G PSL2, for some real closed field R.
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  34.  19
    Samuel R. Buss, Alexander S. Kechris, Anand Pillay & Richard A. Shore (2001). The Prospects for Mathematical Logic in the Twenty-First Century. Bulletin of Symbolic Logic 7 (2):169-196.
    The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed independently.
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  35.  3
    B. Hart, A. Pillay & S. Starchenko (1995). 1-Based Theories - the Main Gap for $a$ -Models. Archive for Mathematical Logic 34 (5):285-300.
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  36. Anand Pillay (1989). Stable Theories, Pseudoplanes and the Number of Countable Models. Annals of Pure and Applied Logic 43 (2):147-160.
    We prove that if T is a stable theory with only a finite number of countable models, then T contains a type-definable pseudoplane. We also show that for any stable theory T either T contains a type-definable pseudoplane or T is weakly normal.
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  37.  4
    Anand Pillay (1981). A Class of ℵ0-Categorical Theories. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 27 (25-30):411-418.
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  38.  10
    Anand Pillay (2003). On Countable Simple Unidimensional Theories. Journal of Symbolic Logic 68 (4):1377-1384.
    We prove that any countable simple unidimensional theory T is supersimple, under the additional assumptions that T eliminates hyperimaginaries and that the $D_\phi-ranks$ are finite and definable.
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  39. Anand Pillay (1986). Forking, Normalization and Canonical Bases. Annals of Pure and Applied Logic 32 (1):61-81.
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  40.  5
    B. Hart, A. Pillay & S. Starchenko (1993). Triviality, NDOP and Stable Varieties. Annals of Pure and Applied Logic 62 (2):119-146.
    We study perfectly trivial theories, 1-based theories, stable varieties, and their mutual interaction. We give a structure theorem for the models of a complete perfectly trivial stable theory without DOP: any model is the algebraic closure of a nonforking regular tree of elements. We also give a structure theorem for stable varieties, all of whose completions have NDOP. Such a variety is a varietal product of an affine variety and a combinatorial variety of an especially simple form.
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  41.  4
    Anand Pillay (1982). Dimension Theory and Homogeneity for Elementary Extensions of a Model. Journal of Symbolic Logic 47 (1):147-160.
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  42.  6
    Lee Fong Low & Anand Pillay (1992). Superstable Theories with Few Countable Models. Archive for Mathematical Logic 31 (6):457-465.
    We prove here:Theorem. LetT be a countable complete superstable non ω-stable theory with fewer than continuum many countable models. Then there is a definable groupG with locally modular regular generics, such thatG is not connected-by-finite and any type inG eq orthogonal to the generics has Morley rank.Corollary. LetT be a countable complete superstable theory in which no infinite group is definable. ThenT has either at most countably many, or exactly continuum many countable models, up to isomorphism.
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  43.  6
    Anand Pillay & Wai Yan Pong (2002). On Lascar Rank and Morley Rank of Definable Groups in Differentially Closed Fields. Journal of Symbolic Logic 67 (3):1189-1196.
    Morley rank and Lascar rank are equal on generic types of definable groups in differentially closed fields with finitely many commuting derivations.
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  44.  5
    Ambar Chowdhury & Anand Pillay (1994). On the Number of Models of Uncountable Theories. Journal of Symbolic Logic 59 (4):1285-1300.
    In this paper we establish the following theorems. THEOREM A. Let T be a complete first-order theory which is uncountable. Then: (i) I(|T|, T) ≥ ℵ 0 . (ii) If T is not unidimensional, then for any λ ≥ |T|, I (λ, T) ≥ ℵ 0 . THEOREM B. Let T be superstable, not totally transcendental and nonmultidimensional. Let θ(x) be a formula of least R ∞ rank which does not have Morley rank, and let p be any stationary completion (...)
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  45.  3
    Anand Pillay (1990). Differentially Algebraic Group Chunks. Journal of Symbolic Logic 55 (3):1138-1142.
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  46.  11
    Gerald J. Pillay (2002). Theology as a Human Science: Reflections on Gadamer's Truth and Method. South African Journal of Philosophy 21 (4):345-358.
    Gadamer's attempt to 'rehabilitate tradition' in general clarifies that which theology and the human sciences have in common since he claims that the rehabilitation of tradition is crucial for all human science enquiry. His systematic unfolding of the hermeneutical process described in Truth and Method is discussed under three headings: The meaning of tradition and how the idea of tradition may be rehabilitated; how do we know in the human sciences? and, the nature of theological reflection as part of the (...)
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  47.  13
    Anand Pillay (1994). Definability of Types, and Pairs of o-Minimal Structures. Journal of Symbolic Logic 59 (4):1400-1409.
    Let T be a complete O-minimal theory in a language L. We first give an elementary proof of the result (due to Marker and Steinhorn) that all types over Dedekind complete models of T are definable. Let L * be L together with a unary predicate P. Let T * be the L * -theory of all pairs (N, M), where M is a Dedekind complete model of T and N is an |M| + -saturated elementary extension of N (and (...)
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  48.  4
    Anand Pillay (1998). Definability and Definable Groups in Simple Theories. Journal of Symbolic Logic 63 (3):788-796.
    We continue the study of simple theories begun in [3] and [5]. We first find the right analogue of definability of types. We then develop the theory of generic types and stabilizers for groups definable in simple theories. The general ideology is that the role of formulas (or definability) in stable theories is replaced by partial types (or ∞-definability) in simple theories.
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  49.  9
    Nirmala Pillay (2002). The Significance of Gadamer's Hermeneutics for Cross-Cultural Understanding. South African Journal of Philosophy 21 (4):330-344.
    Edward Said's book Orientalism stands in a long lineage of critique of European scholarship responsible for shaping European understandings of foreign cultures. His book contributed significantly to the debate about the epistemological presuppositions informing European scholars of other cultures. However, while Said exposed in considerable detail the ways in which the Orient was distorted by the theories of the European academy, he left unexamined the possibility of genuine cross-cultural understanding. This article considers the significance of hermeneutics for cross-cultural rather than (...)
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  50.  9
    Anand Pillay (1984). Regular Types in Nonmultidimensional Ω-Stable Theories. Journal of Symbolic Logic 49 (3):880-891.
    We define a hierarchy on the regular types of an ω-stable nonmultidimensional theory, using generalised notions of algebraic and strongly minimal formulae. As an application we show that any resplendent model of an ω-stable finite-dimensional theory is saturated.
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