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Chain transitive homeomorphisms on a space : all or none |
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| Author: | Akin, Ethan1; Rautio, Juho2 |
| Organizations: |
1Mathematics Department, The City College, New York, NY United States 2Department of Mathematical Sciences, University of Oulu, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019032810215 |
| Language: | English |
| Published: |
Mathematical Sciences Publishers,
2017
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| Publish Date: | 2019-03-28 |
| Description: |
AbstractExtending earlier work, we consider when a compact metric space can be realized as the omega limit set of a discrete time dynamical system. This is equivalent to asking when the space admits a chain transitive homeomorphism. We approach this problem in terms of various conditions on the connected components of the space. We also construct spaces where all homeomorphisms are chain transitive. see all
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| Series: |
Pacific journal of mathematics |
| ISSN: | 0030-8730 |
| ISSN-E: | 0030-8730 |
| ISSN-L: | 0030-8730 |
| Volume: | 291 |
| Issue: | 1 |
| Pages: | 1 - 49 |
| DOI: | 10.2140/pjm.2017.291.1 |
| OADOI: | https://oadoi.org/10.2140/pjm.2017.291.1 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Copyright information: |
© Copyright 2017 Pacific Journal of Mathematics. All rights reserved. |