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Analysis on Polish Spaces and an Introduction to Optimal Transportation

Analysis on Polish Spaces and an Introduction to Optimal Transportation

Paperback

Series: London Mathematical Society Student Texts, Book 89

General Mathematics

ISBN10: 1108431763
ISBN13: 9781108431767
Publisher: Cambridge
Published: Dec 21 2017
Pages: 356
Weight: 1.10
Height: 0.81 Width: 6.42 Depth: 9.25
Language: English
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces of probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in mathematical analysis. The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.

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