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On the Two Definitions of the Conley Index
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kurland, Henry L. |
| Copyright Year | 2010 |
| Abstract | The two definitions of the homotopy equivalences between Conley index spaces of an isolated invariant set, the original one of Conley [C] as completed by the author in [Kl] and the more recent definition of Salamon [S], are shown to define the same homotopy classes without reference to the difficult proof of [Kl] showing the Conley index to be a connected simple system. The equivalences of the original definition are useful in describing certain geometric situations in terms of the index; examples are given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1989-106-04/S0002-9939-1989-0982405-9/S0002-9939-1989-0982405-9.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Class Conley index theory Conley–Zehnder theorem |
| Content Type | Text |
| Resource Type | Article |
