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" Algebras of sets and combinatorics / "
L.Š. Grinblat.
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BL
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| Record Number
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587056
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| Doc. No
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b416275
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| Uniform Title
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Algebry mnozhestv i kombinatorika.English
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| Main Entry
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Grinblat, L. Š., (Leonid Š.),1944-
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| Title & Author
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Algebras of sets and combinatorics /\ L.Š. Grinblat.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2002.
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| Series Statement
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Translations of mathematical monographs,; v. 214
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| Page. NO
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vi, 256 p. ;; 26 cm.
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| ISBN
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0821827650 (alk. paper)
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: 9780821827659 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 251-253) and index.
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| Contents
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Main Results -- The Main Idea -- Finite Sequences of Algebras (1). Proof of Theorems 2.1 and 2.2 -- Countable Sequences of Algebras (1). Proof of Theorem 2.4 -- Proof of the Gitik-Shelah Theorem, and More from Set Theory -- Proof of Theorems 1.17, 2.7, 2.8 -- Theorems on Almost [sigma]-Algebras. Proof of Theorem 2.9 -- Finite Sequences of Algebras (2). The Function g(n) -- A Description of the Class of Functions [psi superscript 7 subscript *] -- The General Problem. Proof of Theorems 2.15 and 2.20 -- Proof of Theorems 2.21(1,3), 2.24 -- The Inverse Problem -- Finite Sequences of Algebras (3). Proof of Theorems 2.27, 2.31, 2.36, 2.38 -- Preliminary Notions and Lemmas -- Finite Sequences of Algebras (4). Proof of Theorems 2.39(1,2), 2.45(1,2) -- Countable Sequences of Algebras (2). Proof of Theorems 2.29, 2.32, 2.46 -- Semistructures and Structures of Sets. Proof of Theorem 2.48 -- Final Comments. Generalization of Theorem 2.1 -- On a Question of Grinblat / Saharon Shelah.
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| Subject
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Combinatorial set theory.
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| LC Classification
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QA248.G753 2002
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