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: | ; |
|---|---|
| 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 |
| _version_ | 1878729675625201664 |
|---|---|
| author | Romero Ruiz del Portal, Francisco |
| author2 | Salazar, J. M. |
| author2_role | author |
| author_browse | Romero Ruiz del Portal, Francisco Salazar, J. M. |
| author_facet | Romero Ruiz del Portal, Francisco Salazar, J. M. |
| author_role | author |
| collection | Docta Complutense |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_0cb8a401f1e38ca3aa024ae48c9d4e40 |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/42016 |
| publishDate | 2010 |
| publishDateSort | 2010 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| reponame_str | Docta Complutense |
| spelling | Realization of all Dold’s congruences with stability Romero Ruiz del Portal, Francisco Salazar, J. M. 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología 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. Elsevier https://hdl.handle.net/20.500.14352/42016 |
| spellingShingle | Realization of all Dold’s congruences with stability Romero Ruiz del Portal, Francisco 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología |
| title | Realization of all Dold’s congruences with stability |
| title_full | Realization of all Dold’s congruences with stability |
| title_fullStr | Realization of all Dold’s congruences with stability |
| title_full_unstemmed | Realization of all Dold’s congruences with stability |
| title_short | Realization of all Dold’s congruences with stability |
| title_sort | Realization of all Dold’s congruences with stability |
| topic | 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología |
| topic_facet | 515.1 Conley index Fixed point index Stable fixed points Homeomorphisms Topología 1210 Topología |
| url | https://hdl.handle.net/20.500.14352/42016 |