Digital homotopic distance between digital functions
In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2021-04-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/14542 |
| _version_ | 1831680114045222912 |
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| author | Ayse Borat |
| author_facet | Ayse Borat |
| author_sort | Ayse Borat |
| collection | DOAJ |
| description | In this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance. |
| first_indexed | 2024-12-20T05:31:24Z |
| format | Article |
| id | doaj.art-d8863abe8775488787cf4387fd9c0664 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-20T05:31:24Z |
| publishDate | 2021-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-d8863abe8775488787cf4387fd9c06642022-12-21T19:51:43ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472021-04-0122118319210.4995/agt.2021.145428620Digital homotopic distance between digital functionsAyse Borat0Bursa Technical UniversityIn this paper, we define digital homotopic distance and give its relation with LS category of a digital function and of a digital image. Moreover, we introduce some properties of digital homotopic distance such as being digitally homotopy invariance.https://polipapers.upv.es/index.php/AGT/article/view/14542homotopic distancelusternik schnirelmann categorydigital topology |
| spellingShingle | Ayse Borat Digital homotopic distance between digital functions Applied General Topology homotopic distance lusternik schnirelmann category digital topology |
| title | Digital homotopic distance between digital functions |
| title_full | Digital homotopic distance between digital functions |
| title_fullStr | Digital homotopic distance between digital functions |
| title_full_unstemmed | Digital homotopic distance between digital functions |
| title_short | Digital homotopic distance between digital functions |
| title_sort | digital homotopic distance between digital functions |
| topic | homotopic distance lusternik schnirelmann category digital topology |
| url | https://polipapers.upv.es/index.php/AGT/article/view/14542 |
| work_keys_str_mv | AT ayseborat digitalhomotopicdistancebetweendigitalfunctions |