E-raamat: Borel Equivalence Relations

With a wide range of unified, and in some cases significantly streamlined proofs of difficult results, including dichotomy theorems, this offers a fresh approach to the theory of Borel equivalence relations and related topics insect theory, ergodic theory, topological dynamics, group theory, combinatorics, functional analysis, and model theory. Kanovei begins with an explanation of the descriptive said he read it back ground, and some theorems of descriptive set theory, then progresses to such topics as Borel ideals, equivalence relations, Borel reducibility of equivalents relations, elementary results, countable equivalence relations, hyperfinite equivalence relations, the first and second dichotomy theorems actions of the infinite symmetric group, turbulent group actions, summable equivalence relations, equalities, pinned equivalence relations, and the production of Borel equivalence relations to Borel ideals. He provides an appendix on Cohen and Gandy-Harrington forcing over countable models. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)