Entropy on noncompact sets
In this paper we review and explore the notion of topological entropy for continuous maps defined on non compact topological spaces which need not be metrizable. We survey the different notions, analyze their relationship and study their properties. Some questions remain open along the paper.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-12-01
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| Series: | Topological Algebra and its Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/taa-2019-0003 |
| _version_ | 1819291071123816448 |
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| author | Cánovas Jose S. |
| author_facet | Cánovas Jose S. |
| author_sort | Cánovas Jose S. |
| collection | DOAJ |
| description | In this paper we review and explore the notion of topological entropy for continuous maps defined on non compact topological spaces which need not be metrizable. We survey the different notions, analyze their relationship and study their properties. Some questions remain open along the paper. |
| first_indexed | 2024-12-24T03:32:48Z |
| format | Article |
| id | doaj.art-c68f5324da8f426096117dd09dd289b8 |
| institution | Directory Open Access Journal |
| issn | 2299-3231 |
| language | English |
| last_indexed | 2024-12-24T03:32:48Z |
| publishDate | 2019-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Topological Algebra and its Applications |
| spelling | doaj.art-c68f5324da8f426096117dd09dd289b82022-12-21T17:17:09ZengDe GruyterTopological Algebra and its Applications2299-32312019-12-0171293710.1515/taa-2019-0003taa-2019-0003Entropy on noncompact setsCánovas Jose S.0Departamento de Matemática Aplicada y Estadística. Universidad Politécnica de Cartagena. Antiguo Hospital de Marina. 30202 Cartagena, Murcia, Spain.In this paper we review and explore the notion of topological entropy for continuous maps defined on non compact topological spaces which need not be metrizable. We survey the different notions, analyze their relationship and study their properties. Some questions remain open along the paper.https://doi.org/10.1515/taa-2019-0003topological entropynon compact spaces37b4037a3554c70 |
| spellingShingle | Cánovas Jose S. Entropy on noncompact sets Topological Algebra and its Applications topological entropy non compact spaces 37b40 37a35 54c70 |
| title | Entropy on noncompact sets |
| title_full | Entropy on noncompact sets |
| title_fullStr | Entropy on noncompact sets |
| title_full_unstemmed | Entropy on noncompact sets |
| title_short | Entropy on noncompact sets |
| title_sort | entropy on noncompact sets |
| topic | topological entropy non compact spaces 37b40 37a35 54c70 |
| url | https://doi.org/10.1515/taa-2019-0003 |
| work_keys_str_mv | AT canovasjoses entropyonnoncompactsets |