Handbook of Boolean algebras  v. 1 ~ v. 3

edited by J. Donald Monk, with the cooperation of Robert Bonnet

This Handbook treats those parts of the theory of Boolean algebras of most interest to pure mathematicians: the set-theoretical abstract theory and applications and relationships to measure theory, topology, and logic. It is divided into two parts (published in three volumes). Part I (volume 1) is a comprehensive, self-contained introduction to the set-theoretical aspects of the theory of Boolean Algebras. It includes, in addition to a systematic introduction of basic algebra and topological ideas, recent developments such as the Balcar-Franek and Shelah-Shapirovskii results on free subalgebras. Part II (volumes 2 and 3) contains articles on special topics describing - mostly with full proofs - the most recent results in special areas such as automorphism groups, Ketonen's theorem, recursive Boolean algebras, and measure algebras.

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[目次]

  • II. Topics in the Theory of Boolean Algebras. Arithmetical Properties of Boolean Algebras: Distributive Laws (T. Jech). Disjoint Refinement (B. Balcar, P. Simon). Algebraic Properties of Boolean Algebras: Subalgebras (R. Bonnet). Cardinal Functions on Boolean Spaces (E.K. van Douwen). The Number of Boolean Algebras (J.D. Monk). Endomorphisms of Boolean Algebras (J.D. Monk). Automorphism Groups (J.D. Monk). On the Reconstruction of Boolean Algebras from their Automorphism Groups (M. Rubin). Embeddings and Automorphisms (P. Stepanek). Rigid Boolean Algebras (M. Bekkali, R. Bonnet). Homogeneous Boolean Algebras (P. Stepanek, M. Rubin). References. Index.

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この本の情報

書名 Handbook of Boolean algebras
著作者等 Bonnet, Robert
Koppelberg, Sabine
Monk, James Donald
Monk J. Donald
巻冊次 v. 1
v. 2
v. 3
出版元 North-Holland;Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
刊行年月 1989
ページ数 3 v.
大きさ 25 cm
ISBN 044470261X
0444871527
0444871535
0444872914
NCID BA0670060X
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言語 英語
出版国 オランダ
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