15 found
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Juan Carlos Martinez [13]Juan Camilo Martínez [5]Juan C. Martínez [1]
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Juan Martínez
Universidad Complutense de Madrid
  1.  21
    Superatomic Boolean Algebras Constructed From Morasses.Peter Koepke & Juan Carlos Martínez - 1995 - Journal of Symbolic Logic 60 (3):940-951.
    By using the notion of a simplified (κ,1)-morass, we construct κ-thin-tall, κ-thin-thick and, in a forcing extension, κ-very thin-thick superatomic Boolean algebras for every infinite regular cardinal κ.
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  2. Cardinal Sequences of LCS Spaces Under GCH.Juan Carlos Martinez & Lajos Soukup - 2010 - Annals of Pure and Applied Logic 161 (9):1180-1193.
    Let denote the class of all cardinal sequences of length α associated with compact scattered spaces. Also put If λ is a cardinal and α λ1>>λn−1 and ordinals α0,…,αn−1 such that α=α0++αn−1 and where each .The proofs are based on constructions of universal locally compact scattered spaces.
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  3. Accessible Sets and (Lω1ω)T-Equivalence for T3 Spaces.Juan Carlos Martínez - 1984 - Journal of Symbolic Logic 49 (3):961 - 967.
  4. On Topological Spaces Equivalent to Ordinals.Jörg Flum & Juan Carlos Martinez - 1988 - Journal of Symbolic Logic 53 (3):785-795.
    Let L be one of the topological languages L t , (L ∞ω ) t and (L κω ) t . We characterize the topological spaces which are models of the L-theory of the class of ordinals equipped with the order topology. The results show that the role played in classical model theory by the property of being well-ordered is taken over in the topological context by the property of being locally compact and scattered.
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  5.  10
    Let Us Build Better Boats. An Answer to Jeffrey Seeman's "Moving Beyond Insularity in the History, Philosophy, and Sociology of Chemistry".Sebastian Fortin, Olimpia Lombardi & Juan Camilo Martínez - 2018 - Foundations of Chemistry 2 (3):261-264.
    In his recent Editorial Article, Jeffrey Seeman calls for the promotion of collaborative work among different disciplines, focusing on the case of the interaction between chemistry, the history of chemistry and the philosophy of chemistry. From a general viewpoint, it is difficult to disagree with this claim; moreover, the interest of scientists in the history and the philosophy of science is always welcome. However, the devil is in the details: there are several points that, we think, must be discussed more (...)
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  6.  11
    Superatomic Boolean Algebras Constructed From Strongly Unbounded Functions.Juan Carlos Martínez & Lajos Soukup - 2011 - Mathematical Logic Quarterly 57 (5):456-469.
    Using Koszmider's strongly unbounded functions, we show the following consistency result: Suppose that κ, λ are infinite cardinals such that κ++ + ≤ λ, κ<κ = κ and 2κ = κ+, and η is an ordinal with κ+ ≤ η < κ++ and cf = κ+. Then, in some cardinal-preserving generic extension there is a superatomic Boolean algebra equation image such that equation image, equation image for every α < η and equation image. Especially, equation image and equation image can (...)
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  7.  10
    Some Open Questions for Superatomic Boolean Algebras.Juan Carlos Martínez - 2005 - Notre Dame Journal of Formal Logic 46 (3):353-356.
    In connection with some known results on uncountable cardinal sequences for superatomic Boolean algebras, we shall describe some open questions for superatomic Boolean algebras concerning singular cardinals.
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  8.  8
    The Relationship Between Chemistry and Physics From the Perspective of Bohmian Mechanics.Sebastian Fortin, Olimpia Lombardi & Juan Camilo Martínez - unknown
    Although during the last decades the philosophy of chemistry has greatly extended its thematic scope, the main difficulties appear in the attempt to link the chemical description of atoms and molecules and the description supplied by quantum mechanics. The aim of this paper is to analyze how the difficulties that threaten the continuous conceptual link between molecular chemistry and quantum mechanics can be overcome or, at least, moderated from the perspective of BM. With this purpose, in “The quantum-mechanical challenges” section (...)
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  9.  32
    Productos de Lt-tipos para especies T.Juan Carlos Martinez - 1992 - Theoria 7 (1/2/3):105-121.
    It is a wel known fact that the finite products of Hintikka-Fraissé types for sentences of quantifier rank n give rise to the set of atoms of a finite boolean algebra. In this paper we consider the class of (Lww)t-types introduced in [4], which caracterizes in a pure topological way the (Lww)t-equivalence for T3 spaces. We define for every nonempty family I of n-types a product xInai in such a way that if I is a family of T3 spaces, XIAi (...)
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  10.  30
    Álgebras de Boole Y Lógica.Juan Carlos Martínez - 1990 - Theoria 5 (1):269-270.
  11.  18
    Los orbitales cuánticos y la autonomía del mundo químico.Mariana Córdoba & Juan Camilo Martínez - 2014 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 29 (2):261.
    The analysis of the concept of orbital allows us to argue that—in opposition to a recent position in philosophy of science—it is impossible to defend the autonomy of the chemical reality in regard to physical reality, appealing to the idea that there is a conceptual rupture among a chemical interpretation and a quantuminterpretation of the concept. This is the case because there are not two different interpretations of the concept of orbital. On the contrary, the concept involved in structural chemistry (...)
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  12.  10
    A Consistency Result on Cardinal Sequences of Scattered Boolean Spaces.Juan C. Martínez - 2005 - Mathematical Logic Quarterly 51 (6):586-590.
    We prove that if GCH holds and τ = 〈κα : α < η 〉 is a sequence of infinite cardinals such that κα ≥ |η | for each α < η, then there is a cardinal-preserving partial order that forces the existence of a scattered Boolean space whose cardinal sequence is τ.
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  13.  9
    On Uncountable Cardinal Sequences for Superatomic Boolean Algebras.Juan Carlos Martínez - 1995 - Archive for Mathematical Logic 34 (4):257-261.
    The countable sequences of cardinals which arise as cardinal sequences of superatomic Boolean algebras were characterized by La Grange on the basis of ZFC set theory. However, no similar characterization is available for uncountable cardinal sequences. In this paper we prove the following two consistency results:Ifθ = 〈κ α :α <ω 1〉 is a sequence of infinite cardinals, then there is a cardinal-preserving notion of forcing that changes cardinal exponentiation and forces the existence of a superatomic Boolean algebraB such that (...)
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  14.  18
    Decision Procedure for a Class of $(L{\Omega_1\Omega})_t$-Types of $T3$ Spaces.Juan Carlos Martínez - 1987 - Notre Dame Journal of Formal Logic 28 (2):284-290.
  15.  8
    Attainment of Tightness in Boolean Spaces.Juan Carlos Martínez - 2002 - Mathematical Logic Quarterly 48 (4):555-558.
    We consider some questions of Donald Monk related to attainment of the tightness function in Boolean spaces. Then we prove in ZFC that attainment of tightness in the sense of the definition does not imply attainment of tightness in the free sequence sense. Our results give rise to full answers to [2, Problems 41, 42].
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