ISBN-10:
0821827650
ISBN-13:
9780821827659
Pub. Date:
09/10/2002
Publisher:
American Mathematical Society
Algebras of Sets and Combinatorics

Algebras of Sets and Combinatorics

by L. S. Grinblat

Hardcover

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Product Details

ISBN-13: 9780821827659
Publisher: American Mathematical Society
Publication date: 09/10/2002
Series: Translations of Mathematical Monographs , #214
Pages: 256
Product dimensions: 7.10(w) x 10.50(h) x 0.90(d)

Table of Contents

Chapter 1Introduction1
Chapter 2Main Results11
Chapter 3The Main Idea25
Chapter 4Finite Sequences of Algebras (1). Proof of Theorems 2.1 and 2.239
Chapter 5Countable Sequences of Algebras (1). Proof of Theorem 2.457
Chapter 6Proof of the Gitik-Shelah Theorem, and More from Set Theory71
Chapter 7Proof of Theorems 1.17, 2.7, 2.883
Chapter 8Theorems on Almost [sigma]-Algebras. Proof of Theorem 2.993
Chapter 9Finite Sequences of Algebras (2). The Function g(n)109
Chapter 10A Description of the Class of Functions [psi superscript 7 subscript *]145
Chapter 11The General Problem. Proof of Theorems 2.15 and 2.20163
Chapter 12Proof of Theorems 2.21(1,3), 2.24175
Chapter 13The Inverse Problem179
Chapter 14Finite Sequences of Algebras (3). Proof of Theorems 2.27, 2.31, 2.36, 2.38181
Chapter 15Preliminary Notions and Lemmas197
Chapter 16Finite Sequences of Algebras (4). Proof of Theorems 2.39(1,2), 2.45(1,2)207
Chapter 17Countable Sequences of Algebras (2). Proof of Theorems 2.29, 2.32, 2.46229
Chapter 18A Refinement of Theorems on [sigma]-Algebras. Proof of Theorems 2.34, 2.44235
Chapter 19Semistructures and Structures of Sets. Proof of Theorem 2.48239
Chapter 20Final Comments. Generalization of Theorem 2.1245
AppendixOn a Question of Grinblat247
Bibliography251
Index255

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