Digital homotopic distance between digital functions

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.

Bibliographic Details
Main Author: Ayse Borat
Format: Article
Language:English
Published: Universitat Politècnica de València 2021-04-01
Series:Applied General Topology
Subjects:
homotopic distance
lusternik schnirelmann category
digital topology
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/14542
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spelling doaj-d8863abe8775488787cf4387fd9c06642021-04-01T09:58:34ZengUniversitat 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
collection DOAJ
language English
format Article
sources DOAJ
author Ayse Borat
spellingShingle Ayse Borat
Digital homotopic distance between digital functions
Applied General Topology
homotopic distance
lusternik schnirelmann category
digital topology
author_facet Ayse Borat
author_sort Ayse Borat
title Digital homotopic distance between digital functions
title_short 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_sort digital homotopic distance between digital functions
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2021-04-01
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.
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
_version_ 1724176200634466304

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