Homology Theory for Smale Spaces (eBook)

Ian F Putnam (Autor)

eBook Download: PDF

122 Seiten
American Mathematical Society (Verlag)
978-1-4704-1897-7 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-1897-5 / 1470418975
• ISBN-13: 978-1-4704-1897-7 / 9781470418977