Fixed point sets in digital topology, 2
We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of a fixed point set for a continuous self-map restri...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2020-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/12101 |
| _version_ | 1818155230154457088 |
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| author | Laurence Boxer |
| author_facet | Laurence Boxer |
| author_sort | Laurence Boxer |
| collection | DOAJ |
| description | We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of a fixed point set for a continuous self-map restricts the map on the complement of the fixed point set. |
| first_indexed | 2024-12-11T14:39:06Z |
| format | Article |
| id | doaj.art-f8da7210ba424dcd9a3578670c71e3ae |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-11T14:39:06Z |
| publishDate | 2020-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-f8da7210ba424dcd9a3578670c71e3ae2022-12-22T01:02:02ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472020-04-0121111113310.4995/agt.2020.121018044Fixed point sets in digital topology, 2Laurence Boxer0Niagara UniversityWe continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of a fixed point set for a continuous self-map restricts the map on the complement of the fixed point set.https://polipapers.upv.es/index.php/AGT/article/view/12101digital topologydigital imagefixed pointreducible imageretractwedgetree |
| spellingShingle | Laurence Boxer Fixed point sets in digital topology, 2 Applied General Topology digital topology digital image fixed point reducible image retract wedge tree |
| title | Fixed point sets in digital topology, 2 |
| title_full | Fixed point sets in digital topology, 2 |
| title_fullStr | Fixed point sets in digital topology, 2 |
| title_full_unstemmed | Fixed point sets in digital topology, 2 |
| title_short | Fixed point sets in digital topology, 2 |
| title_sort | fixed point sets in digital topology 2 |
| topic | digital topology digital image fixed point reducible image retract wedge tree |
| url | https://polipapers.upv.es/index.php/AGT/article/view/12101 |
| work_keys_str_mv | AT laurenceboxer fixedpointsetsindigitaltopology2 |