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A Homology Theory For Smale Spaces Ian F Putnam

SKU: BELL-5251102

$ 35.00 ~~$ 45.00~~ (-22%)

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A Homology Theory For Smale Spaces Ian F Putnam instant download after payment.

Publisher: Amer Mathematical Society

File Extension: PDF

File size: 1.1 MB

Pages: 136

Author: Ian F. Putnam

ISBN: 9781470409098, 1470409097

Language: English

Year: 2014

Product desciption

A Homology Theory For Smale Spaces Ian F Putnam by Ian F. Putnam 9781470409098, 1470409097 instant download after payment.

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