A Homology Theory for Smale Spaces Paperback / softback
by Ian F. Putnam
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:122 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2014
- Category:
- ISBN:9781470409098
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:122 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2014
- Category:
- ISBN:9781470409098