Handbook of Boolean Algebras: Volume 2

ISBN-13: 9780444871527 / Angielski / Twarda / 1989 / 440 str.

Monk;Unknown; J. D. Monk

Opis

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.

Spis treści

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. Štěpánek). Rigid Boolean Algebras (M. Bekkali, R. Bonnet). Homogeneous Boolean Algebras (P. Štěpánek, M. Rubin). References. Index.