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Can I read A homology theory for Smale spaces on EtoBox?
A homology theory for Smale spaces by Ian F. Putnam is a nonfiction available to read on EtoBox.
What is A homology theory for Smale spaces about?
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.
Who reads A homology theory for Smale spaces?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Ian F. Putnam
- Publisher
- American Mathematical Society
- Published
- 2014
- Language
- EN
- ISBN
- 9781470418977
- Category
- nonfiction
- Subjects
- Mathematics, Stem