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 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
- 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 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
- 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 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
- 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 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
- 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
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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Ramsey-theory-for-product-spaces-Pandelis-Dodos/k2L9h6HTRgU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Ramsey-theory-for-product-spaces-Pandelis-Dodos/k2L9h6HTRgU/">Ramsey theory for product spaces, Pandelis Dodos, Vassilis Kanellopoulos</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
