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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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2014
|
| Series: | Memoirs of the American Mathematical Society ;
no. 1094. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
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 ©2014 | |
| 300 | |a 1 online resource (v, 122 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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). | ||
| 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. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Homology theory. | |
| 650 | 0 | |a Chaotic behavior in systems. | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a A homology theory for Smale spaces (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG3HDCbyKpWd6CWxVFFyJP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 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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