Realization of all Dold’s congruences with stability
The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques eve...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2010 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/42016 |
| Online Access: | https://hdl.handle.net/20.500.14352/42016 |
| Access Level: | Open access |
| Keyword: | 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología |
| Summary: | The main goal of this paper is to prove that for each n > 2, every sequence of integers satisfying Dold’s congruences is realized as the sequence of fixed point indices of the iterates of an orientation preserving Rn-homeomorphism at an isolated stable fixed point. We use Conley index techniques even though stable fixed points are not isolated invariant sets. |
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