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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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Putnam, Ian F. (Ian Fraser), 1958- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [2014]
Colección:Memoirs of the American Mathematical Society ; no. 1094.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Putnam, Ian F.  |q (Ian Fraser),  |d 1958-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjyDFP3WvccbY8Qf49FHqP 
245 1 2 |a A homology theory for Smale spaces /  |c Ian F. Putnam. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2014] 
264 4 |c Ã2014 
300 |a 1 online resource (v, 122 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 232, number 1094 
500 |a "Volume 232, Number 1094 (sixth of 6 numbers), November 2014." 
504 |a Includes bibliographical references (pages 121-122). 
588 0 |a Print version record. 
505 0 0 |t Preface  |t Chapter 1. Summary  |t Chapter 2. Dynamics  |t Chapter 3. Dimension groups  |t Chapter 4. The complexes of an $s/u$-bijective factor map  |t Chapter 5. The double complexes of an $s/u$-bijective pair  |t Chapter 6. A Lefschetz formula  |t Chapter 7. Examples  |t Chapter 8. Questions. 
520 |a 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. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Homology theory. 
650 0 |a Chaotic behavior in systems. 
650 6 |a Homologie. 
650 6 |a Chaos. 
650 7 |a Chaotic behavior in systems  |2 fast 
650 7 |a Homology theory  |2 fast 
710 2 |a American Mathematical Society,  |e publisher. 
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776 0 8 |i Print version:  |i Putnam, Ian F. (Ian Fraser), 1958-  |t Homology theory for Smale spaces.  |d Providence, Rhode Island : American Mathematical Society, [2014]  |z 9781470409098  |w (DLC) 2014024652  |w (OCoLC)881721537 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1094. 
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