A Homology Theory for Smale Spaces is popular PDF and ePub book, written by Ian F. Putnam in 2014-09-29, 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, A Homology Theory for Smale Spaces can be Read Online from any device for your convenience.
A Homology Theory for Smale Spaces Book PDF Summary
The author develops a homology theory for Smale spaces, which include the basics sets for an Axiom A diffeomorphism. It is based on two ingredients. The first is an improved version of Bowen's result that every such system is the image of a shift of finite type under a finite-to-one factor map. The second is Krieger's dimension group invariant for shifts of finite type. He proves a Lefschetz formula which relates the number of periodic points of the system for a given period to trace data from the action of the dynamics on the homology groups. The existence of such a theory was proposed by Bowen in the 1970s.
Detail Book of A Homology Theory for Smale Spaces PDF
- Author : Ian F. Putnam
- Release : 29 September 2014
- Publisher : American Mathematical Soc.
- ISBN : 9781470409098
- Genre : Mathematics
- Total Page : 136 pages
- Language : English
- PDF File Size : 12,7 Mb
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