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Stevo Todorcevic

Introduction to Ramsey Spaces

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Analytic set
Author_Stevo Todorcevic
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Axiom of choice
Baire category theorem
Baire space
Banach space
Bijection
Binary relation
Boolean prime ideal theorem
Borel equivalence relation
Borel measure
Borel set
C0
Cantor cube
Cantor set
Cantor space
Category1=Non-Fiction
Category=PBV
Characterization (mathematics)
Combinatorics
Compactification (mathematics)
Complete metric space
Constructible universe
Continuous function
Continuous function (set theory)
COP=United States
Corollary
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Diagonalization
Dimension
Dimension (vector space)
Disjoint sets
eq_isMigrated=2
Equation
Equivalence relation
Family of sets
Forcing (mathematics)
Forcing (recursion theory)
Gap theorem
Ideal (ring theory)
Infinite product
Language_English
Lebesgue measure
Limit point
Lipschitz continuity
Mathematical induction
Metric space
Metrization theorem
Monotonic function
Natural number
Natural topology
Open set
Order type
PA=Temporarily unavailable
Peano axioms
Polish space
Price_€50 to €100
Probability measure
Product measure
Product topology
Property of Baire
PS=Active
Ramsey theory
Ramsey's theorem
Right inverse
Scalar multiplication
Schauder basis
Semigroup
Sequential space
Set (mathematics)
Set theory
softlaunch
Subsequence
Subset
Subspace topology
Theorem
Topological group
Topological space
Topology
Variable (mathematics)
Zorn's lemma

Product details

  • ISBN 9780691145426
  • Weight: 397g
  • Dimensions: 152 x 235mm
  • Publication Date: 21 Jul 2010
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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Description
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. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory.
About Stevo Todorcevic
Stevo Todorcevic is professor of mathematics at the University of Toronto and holds senior research positions at the CNRS in Paris and SANU in Belgrade. He is the author or coauthor of several books, including "Walks on Ordinals and Their Characteristics" and "Ramsey Methods in Analysis".