Ramsey theory for product spaces

Resource Information

The work Ramsey theory for product spaces represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Ramsey theory for product spaces

Statement of responsibility

Pandelis Dodos, Vassilis Kanellopoulos

Creator

• Dodos, P., (Pandelis), 1974-

Contributor

• Kanellopoulos, V., (Vassilis)

Author

• Dodos, P., (Pandelis), 1974-
• Kanellopoulos, V., (Vassilis)

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

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

Member of

• Mathematical surveys and monographs, no. 212

Cataloging source

DLC

Dewey number

511/.5

Index

index present

LC call number

QA164

LC item number

.D66 2016

Literary form

non fiction

Nature of contents

bibliography

Series statement

Mathematical surveys and monographs

Series volume

volume 212