The Resource Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos
Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos
Resource Information
The item Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 theorythe 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 infinitedimensional 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 HalesJewett 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
 Language
 eng
 Extent
 ix, 245 pages
 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 HalesJewett theorem 144
 Chapter 9. The density CarlsonSimpson 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
 Isbn
 9781470428082
 Label
 Ramsey theory for product spaces
 Title
 Ramsey theory for product spaces
 Statement of responsibility
 Pandelis Dodos, Vassilis Kanellopoulos
 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 theorythe 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 infinitedimensional 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 HalesJewett 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
 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
 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 HalesJewett theorem 144  Chapter 9. The density CarlsonSimpson 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
 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 HalesJewett theorem 144  Chapter 9. The density CarlsonSimpson 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
Subject
 Combinatorics  Extremal combinatorics  Probabilistic methods
 Combinatorics  Extremal combinatorics  Ramsey theory
 Ramsey theory
 Ramsey theory
 Topological spaces
 Topological spaces
 Combinatorial analysis
 Combinatorial analysis
 Combinatorics  Extremal combinatorics  Extremal set theory
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