Coverart for item
The Resource Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos

Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos

Label
Ramsey theory for product spaces
Title
Ramsey theory for product spaces
Statement of responsibility
Pandelis Dodos, Vassilis Kanellopoulos
Creator
Contributor
Author
Subject
Language
eng
Summary
Ramsey theory is a dynamic area of combinatorics that has various applications in analysis, ergodic theory, logic, number theory, probability theory, theoretical computer science, and topological dynamics. This book is devoted to one of the most important areas of Ramsey theory--the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dimensional case. The book presents many major results and methods in the area, such as Szemerédi's regularity method, the hypergraph removal lemma, and the density Hales-Jewett theorem. This book addresses researchers in combinatorics but also working mathematicians and advanced graduate students who are interested in Ramsey theory. The prerequisites for reading this book are rather minimal: it only requires familiarity, at the graduate level, with probability theory and real analysis. Some familiarity with the basics of Ramsey theory would be beneficial, though not necessary
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1974-
http://library.link/vocab/creatorName
Dodos, P.
Dewey number
511/.5
Index
index present
LC call number
QA164
LC item number
.D66 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Kanellopoulos, V.
Series statement
Mathematical surveys and monographs
Series volume
volume 212
http://library.link/vocab/subjectName
  • Ramsey theory
  • Combinatorial analysis
  • Topological spaces
  • Combinatorial analysis
  • Ramsey theory
  • Topological spaces
  • Combinatorics
  • Combinatorics
  • Combinatorics
Label
Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 1. Basic concepts 12 -- Part 1. Coloring theory 26 -- Chapter 2. Combinatorial spaces 28 -- Chapter 3. Strong subtrees 48 -- Chapter 4. Variable words 68 -- Chapter 5. Finite sets of words 86 -- Part 2. Density theory 98 -- Chapter 6. Szemerédi's regularity method 100 -- Chapter 7. The removal lemma 120 -- Chapter 8. The density Hales-Jewett theorem 144 -- Chapter 9. The density Carlson-Simpson theorem 166 -- Part 3. Appendices 222 -- Appendix A. Primitive recursive functions 224 -- Appendix B. Ramsey's theorem 226 -- Appendix C. The Baire property 228 -- Appendix D. Ultrafilters 230 -- Appendix E. Probabilistic background 238 -- Appendix F. Open problems
Control code
934937507
Dimensions
27 cm
Extent
ix, 245 pages
Isbn
9781470428082
Lccn
2015048413
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)934937507
Label
Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Chapter 1. Basic concepts 12 -- Part 1. Coloring theory 26 -- Chapter 2. Combinatorial spaces 28 -- Chapter 3. Strong subtrees 48 -- Chapter 4. Variable words 68 -- Chapter 5. Finite sets of words 86 -- Part 2. Density theory 98 -- Chapter 6. Szemerédi's regularity method 100 -- Chapter 7. The removal lemma 120 -- Chapter 8. The density Hales-Jewett theorem 144 -- Chapter 9. The density Carlson-Simpson theorem 166 -- Part 3. Appendices 222 -- Appendix A. Primitive recursive functions 224 -- Appendix B. Ramsey's theorem 226 -- Appendix C. The Baire property 228 -- Appendix D. Ultrafilters 230 -- Appendix E. Probabilistic background 238 -- Appendix F. Open problems
Control code
934937507
Dimensions
27 cm
Extent
ix, 245 pages
Isbn
9781470428082
Lccn
2015048413
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)934937507

Library Locations

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      38.944377 -92.326537
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