Introduction to Ramsey Spaces (AM-174) /

Introduction to Ramsey Spaces (AM-174) / / Stevo Todorcevic.

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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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Todorcevic, Stevo,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2010]
©2010
Year of Publication:2010
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 174
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Physical Description:1 online resource (296 p.) :; 12 line illus.
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Introduction to Ramsey Spaces (AM-174) / Stevo Todorcevic.
Course Book
Princeton, NJ : Princeton University Press, [2010]
©2010
1 online resource (296 p.) : 12 line illus.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 174
Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Algebraic spaces.
Ramsey theory.
MATHEMATICS / Combinatorics. bisacsh
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.
C0.
Cantor cube.
Cantor set.
Cantor space.
Cardinality.
Characteristic function (probability theory).
Characterization (mathematics).
Combinatorics.
Compact space.
Compactification (mathematics).
Complete metric space.
Completely metrizable space.
Constructible universe.
Continuous function (set theory).
Continuous function.
Corollary.
Countable set.
Counterexample.
Decision problem.
Dense set.
Diagonalization.
Dimension (vector space).
Dimension.
Discrete space.
Disjoint sets.
Dual space.
Embedding.
Equation.
Equivalence relation.
Existential quantification.
Family of sets.
Forcing (mathematics).
Forcing (recursion theory).
Gap theorem.
Geometry.
Ideal (ring theory).
Infinite product.
Lebesgue measure.
Limit point.
Lipschitz continuity.
Mathematical induction.
Mathematical problem.
Mathematics.
Metric space.
Metrization theorem.
Monotonic function.
Natural number.
Natural topology.
Neighbourhood (mathematics).
Null set.
Open set.
Order type.
Partial function.
Partially ordered set.
Peano axioms.
Point at infinity.
Pointwise.
Polish space.
Probability measure.
Product measure.
Product topology.
Property of Baire.
Ramsey's theorem.
Right inverse.
Scalar multiplication.
Schauder basis.
Semigroup.
Sequence.
Sequential space.
Set (mathematics).
Set theory.
Sperner family.
Subsequence.
Subset.
Subspace topology.
Support function.
Symmetric difference.
Theorem.
Topological dynamics.
Topological group.
Topological space.
Topology.
Tree (data structure).
Unit interval.
Unit sphere.
Variable (mathematics).
Well-order.
Zorn's lemma.
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502
print 9780691145426
https://doi.org/10.1515/9781400835409
https://www.degruyter.com/isbn/9781400835409
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language English
format eBook
author Todorcevic, Stevo,
Todorcevic, Stevo,
spellingShingle Todorcevic, Stevo,
Todorcevic, Stevo,
Introduction to Ramsey Spaces (AM-174) /
Annals of Mathematics Studies ;
Frontmatter --
Contents --
Introduction --
Chapter 1. Ramsey Theory: Preliminaries --
Chapter 2. Semigroup Colorings --
Chapter 3. Trees and Products --
Chapter 4. Abstract Ramsey Theory --
Chapter 5. Topological Ramsey Theory --
Chapter 6. Spaces of Trees --
Chapter 7. Local Ramsey Theory --
Chapter 8. Infinite Products of Finite Sets --
Chapter 9. Parametrized Ramsey Theory --
Appendix --
Bibliography --
Subject Index --
Index of Notation
author_facet Todorcevic, Stevo,
Todorcevic, Stevo,
author_variant s t st
s t st
author_role VerfasserIn
VerfasserIn
author_sort Todorcevic, Stevo,
title Introduction to Ramsey Spaces (AM-174) /
title_full Introduction to Ramsey Spaces (AM-174) / Stevo Todorcevic.
title_fullStr Introduction to Ramsey Spaces (AM-174) / Stevo Todorcevic.
title_full_unstemmed Introduction to Ramsey Spaces (AM-174) / Stevo Todorcevic.
title_auth Introduction to Ramsey Spaces (AM-174) /
title_alt Frontmatter --
Contents --
Introduction --
Chapter 1. Ramsey Theory: Preliminaries --
Chapter 2. Semigroup Colorings --
Chapter 3. Trees and Products --
Chapter 4. Abstract Ramsey Theory --
Chapter 5. Topological Ramsey Theory --
Chapter 6. Spaces of Trees --
Chapter 7. Local Ramsey Theory --
Chapter 8. Infinite Products of Finite Sets --
Chapter 9. Parametrized Ramsey Theory --
Appendix --
Bibliography --
Subject Index --
Index of Notation
title_new Introduction to Ramsey Spaces (AM-174) /
title_sort introduction to ramsey spaces (am-174) /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2010
physical 1 online resource (296 p.) : 12 line illus.
Issued also in print.
edition Course Book
contents Frontmatter --
Contents --
Introduction --
Chapter 1. Ramsey Theory: Preliminaries --
Chapter 2. Semigroup Colorings --
Chapter 3. Trees and Products --
Chapter 4. Abstract Ramsey Theory --
Chapter 5. Topological Ramsey Theory --
Chapter 6. Spaces of Trees --
Chapter 7. Local Ramsey Theory --
Chapter 8. Infinite Products of Finite Sets --
Chapter 9. Parametrized Ramsey Theory --
Appendix --
Bibliography --
Subject Index --
Index of Notation
isbn 9781400835409
9783110494914
9783110442502
9780691145426
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA166
callnumber-sort QA 3166
url https://doi.org/10.1515/9781400835409
https://www.degruyter.com/isbn/9781400835409
https://www.degruyter.com/document/cover/isbn/9781400835409/original
illustrated Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 511 - General principles of mathematics
dewey-full 511/.5
dewey-sort 3511 15
dewey-raw 511/.5
dewey-search 511/.5
doi_str_mv 10.1515/9781400835409
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
is_hierarchy_title Introduction to Ramsey Spaces (AM-174) /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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