Introduction to Ramsey Spaces

Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduc...

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Bibliographic Details
Main Author:	Todorcevic, Stevo
Format:	eBook Book
Language:	English
Published:	Princeton Princeton University Press 2010
Edition:	1
Series:	Annals of mathematics studies
Subjects:	Algebraic spaces Analytic set Axiom of choice Baire category theorem Baire space Banach space Bijection Binary relation Boolean prime ideal theorem Borel equivalence relation Borel measure Borel set Cantor cube Cantor set Cantor space Characterization (mathematics) Combinatorics Compactification (mathematics) Complete metric space Constructible universe Continuous function Continuous function (set theory) Corollary Diagonalization Dimension Dimension (vector space) Disjoint sets Equation Equivalence relation Family of sets Forcing (mathematics) Forcing (recursion theory) Gap theorem Ideal (ring theory) Infinite product Lebesgue measure Limit point Lipschitz continuity Mathematical induction MATHEMATICS MATHEMATICS / Combinatorics MATHEMATICS / General Metric space Metrization theorem Monotonic function Natural number Natural topology Open set Order type Peano axioms Polish space Probability measure Product measure Product topology Property of Baire Ramsey theory Ramsey's theorem Right inverse Scalar multiplication Schauder basis Semigroup Sequential space Set (mathematics) Set theory Subsequence Subset Subspace topology Theorem Topological group Topological space Topology Variable (mathematics) Zorn's lemma Equivalence relation Open set Bijection Subset Forcing (recursion theory) Limit point Product measure Ramsey theory Forcing (mathematics) Cantor set Borel equivalence relation Mathematical induction Characterization (mathematics) Infinite product Order type Combinatorics Corollary Monotonic function Ideal (ring theory) Right inverse Baire category theorem Semigroup Continuous function Natural topology Topology Sequential space Subspace topology Binary relation Dimension (vector space) Zorn's lemma Topological space Gap theorem Subsequence Boolean prime ideal theorem Disjoint sets Axiom of choice Probability measure Natural number Complete metric space Continuous function (set theory) Diagonalization Metric space Product topology Ramsey's theorem Set (mathematics) C0 Cantor space Lipschitz continuity Family of sets Lebesgue measure Baire space Theorem Polish space Metrization theorem Borel measure Peano axioms Constructible universe Cantor cube Borel set Equation Dimension Banach space Analytic set Property of Baire Variable (mathematics) Topological group Compactification (mathematics) Set theory Schauder basis Scalar multiplication
ISBN:	0691145415, 9780691145419, 9780691145426, 0691145423, 1400835402, 9781400835409
Online Access:	Get full text
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