Analysis on Polish Spaces and an Introduction to Optimal Transportation
D. J. H. Garling
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.
Categories:
Year:
2018
Edition:
1
Publisher:
Cambridge University Press
Language:
english
Pages:
356
ISBN 10:
1108421571
ISBN 13:
9781108421577
Series:
London Mathematical Society Student Texts; 89
File:
PDF, 1.53 MB
IPFS:
,
english, 2018
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