Borel equivalence relations; structure and classification.9780821844533 Borel equivalence relations; structure and classification. Kanovei, V.G. American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards to mathematicians. 2008 240 pages $45.00 Paperback University lecture series; v.44 QA248 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 combinatorics (kŏm'bənətôr`ĭks) or combinatorial analysis (kŏm'bĭnətôr`ēəl) , 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 In mathematical logic, descriptive set theory is the study of certain classes of "well-behaved" sets of real numbers, e.g. Borel sets, analytic sets, and projective sets. A major aim of descriptive set theory is to describe all of the "naturally occurring" sets of real numbers by , then progresses to such topics as Borel ideals, equivalence relations, Borel reducibility of equivalents relations, elementary results, countable (mathematics) countable - A term describing a set which is isomorphic to a subet of the natural numbers. A countable set has "countably many" elements. If the isomorphism is stated explicitly then the set is called "a counted set" or "an enumeration". 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 cohen or kohen (Hebrew: “priest”) Jewish priest descended from Zadok (a descendant of Aaron), priest at the First Temple of Jerusalem. The biblical priesthood was hereditary and male. and Gandy-Harrington forcing over countable models. ([c]20082005 Book News, Inc., Portland, OR) |
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