Ramsey theory for product spaces /

Ramsey theory for product spaces /

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Bibliographic Details
Author / Creator:	Dodos, P. (Pandelis), 1974- author.
Imprint:	Providence, Rhode Island : American Mathematical Society, [2016]
Description:	ix, 245 pages ; 27 cm.
Language:	English
Series:	Mathematical surveys and monographs ; volume 212 Mathematical surveys and monographs ; no. 212.
Subject:	Ramsey theory. Combinatorial analysis. Topological spaces. Combinatorial analysis. Ramsey theory. Topological spaces.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/10786591

Hidden Bibliographic Details
Other authors / contributors:	Kanellopoulos, V. (Vassilis), author.
ISBN:	9781470428082 1470428083
Notes:	Includes bibliographical references and index.
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.

Eckhart

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Call Number:	QA164.D66 2016
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