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|c DLC
|d YDX
|d OCLCF
|d YDXCP
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|a 511/.5
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|a QA1
|b .M286 v.212
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| 100 |
1 |
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|a Dodos, P.
|q (Pandelis),
|d 1974-
|e author.
|0 http://id.loc.gov/authorities/names/no2008062715
|
| 245 |
1 |
0 |
|a Ramsey theory for product spaces /
|c Pandelis Dodos, Vassilis Kanellopoulos.
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| 264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c [2016]
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| 264 |
|
4 |
|c ©2016
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| 300 |
|
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|a ix, 245 pages ;
|c 27 cm.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a unmediated
|b n
|2 rdamedia
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
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| 490 |
1 |
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|a Mathematical surveys and monographs ;
|v volume 212
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| 504 |
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|a Includes bibliographical references (pages 237-241) and index.
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| 505 |
0 |
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|a 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.
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| 520 |
3 |
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|a 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.
|
| 650 |
|
0 |
|a Ramsey theory.
|0 http://id.loc.gov/authorities/subjects/sh85111302
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| 650 |
|
0 |
|a Combinatorial analysis.
|0 http://id.loc.gov/authorities/subjects/sh85028802
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| 650 |
|
0 |
|a Topological spaces.
|0 http://id.loc.gov/authorities/subjects/sh85136087
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| 650 |
|
7 |
|a Combinatorics
|x Extremal combinatorics
|x Ramsey theory.
|2 msc
|
| 650 |
|
7 |
|a Combinatorics
|x Extremal combinatorics
|x Extremal set theory.
|2 msc
|
| 650 |
|
7 |
|a Combinatorics
|x Extremal combinatorics
|x Probabilistic methods.
|2 msc
|
| 700 |
1 |
|
|a Kanellopoulos, V.
|q (Vassilis),
|e author.
|0 http://id.loc.gov/authorities/names/no2008062725
|
| 830 |
|
0 |
|a Mathematical surveys and monographs ;
|v v. 212.
|0 http://id.loc.gov/authorities/names/n83732928
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| 907 |
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|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Main Library
|d MSU Main Library
|t 0
|e QA1 .M286 v.212
|
