Classification and Orbit Equivalence Relations is popular PDF and ePub book, written by Greg Hjorth in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Classification and Orbit Equivalence Relations can be Read Online from any device for your convenience.
Classification and Orbit Equivalence Relations Book PDF Summary
Actions of Polish groups are ubiquitous in mathematics. In certain branches of ergodic theory and functional analysis, one finds a systematic study of the group of measure-preserving transformations and the unitary group. In logic, the analysis of countable models intertwines with results concerning the actions of the infinite symmetric group. This text develops the theory of Polish group actions entirely from scratch, ultimately presenting a coherent theory of the resulting orbit equivalence classes that may allow complete classification by invariants of an indicated form. The book concludes with a criterion for an orbit equivalence relation classifiable by countable structures considered up to isomorphism. This self-contained volume offers a complete treatment of this active area of current research and develops a difficult general theory classifying a class of mathematical objects up to some relevant notion of isomorphism or equivalence.
Detail Book of Classification and Orbit Equivalence Relations PDF
- Author : Greg Hjorth
- Release : 22 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821820025
- Genre : Mathematics
- Total Page : 217 pages
- Language : English
- PDF File Size : 16,9 Mb
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