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Shift Equivalence and the Conley Index
| Content Provider | Semantic Scholar |
|---|---|
| Author | Franks, John |
| Copyright Year | 2000 |
| Abstract | In this paper we introduce filtration pairs for an isolated invariant set of continuous maps. We prove the existence of filtration pairs and show that, up to shift equivalence, the induced map on the corresponding pointed space is an invariant of the isolated invariant set. Moreover, the maps defining the shift equivalence can be chosen canonically. Last, we define partially ordered Morse decompositions and prove the existence of Morse set filtrations for such decompositions. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/2000-352-07/S0002-9947-00-02488-0/S0002-9947-00-02488-0.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Conley index theory Conley–Zehnder theorem Map Ordered pair Turing completeness filtration |
| Content Type | Text |
| Resource Type | Article |
