MARC details
| 000 -LEADER |
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| fixed length control field |
02556cam a2200277 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
137675 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20170517114311.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
160113s2016 riu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470428082 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510MS |
| Edition number |
23 |
| Item number |
Am512 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Dodos, Pandelis, |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
Ramsey theory for product spaces / |
| Statement of responsibility, etc |
Pandelis Dodos and Vassilis Kanellopoulos. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
©2016. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
ix, 245 pages ; |
| Dimensions |
26 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Mathematical surveys and monographs ; |
| Volume number/sequential designation |
v 212. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Chapter 1. Basic concepts --<br/> Part 1. Coloring theory --<br/> Chapter 2. Combinatorial spaces --<br/> Chapter 3. Strong subtrees --<br/> Chapter 4. Variable words --<br/> Chapter 5. Finite sets of words --<br/> Part 2. Density theory --<br/> Chapter 6. Szemerédi's regularity method --<br/>Chapter 7. The removal lemma 120 --<br/>Chapter 8. The density Hales-Jewett theorem --<br/>Chapter 9. The density Carlson-Simpson theorem --<br/>Part 3. Appendices --<br/>Appendix A. Primitive recursive functions --<br/>Appendix B. Ramsey's theorem --<br/>Appendix C. The Baire property --<br/>Appendix D. Ultrafilters --<br/>Appendix E. Probabilistic background --<br/>Appendix F. Open problems. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Ramsey theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Combinatorial analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Topological spaces. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Kanellopoulos, Vassilis, |
| Relator term |
author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
