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A homology theory for Smale spaces /
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....
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2014]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1094. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 Bow. |
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| Notas: | "Volume 232, Number 1094 (sixth of 6 numbers), November 2014." |
| Descripción Física: | 1 online resource (v, 122 pages) |
| Bibliografía: | Includes bibliographical references (pages 121-122). |
| ISBN: | 9781470418977 1470418975 |
| ISSN: | 0065-9266 ; |