Geodesic
On the topological locality of antisymmetric connectedness
Filomat, Tome 37 (2023) no. 12, p. 3883

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DOI

The theory of antisymmetric connectedness for a T 0-quasi-metric space was established in terms of graph theory lately, as corresponding counterpart of the connectedness for the complement of a graph. Following that in the current study, a topological localized version of the antisymmetrically connected spaces is described and studied through a variety of approaches in the context of T 0-quasi-metrics. Within the framework of this, we examine the cases under which conditions a T 0-quasi-metric space would become locally antisymmetrically connected as well as some topological characterizations of locally antisymmetrically connected T 0-quasi-metric spaces are presented, especially via metrics.
DOI : 10.2298/FIL2312883Y
Classification : 54D05, 05C10, 05C40, 06A06, 54E35
Keywords: Quasi-pseudometric, complementary graph, symmetric pair, antisymmetric path, symmetry graph, T0-quasi-metric space, antisymmetry component, locally antisymmetrically connected space 
Filiz Yıldız; Nezakat Javanshir. On the topological locality of antisymmetric connectedness. Filomat, Tome 37 (2023) no. 12, p. 3883 . doi: 10.2298/FIL2312883Y
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     title = {On the topological locality of antisymmetric connectedness},
     journal = {Filomat},
     pages = {3883 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312883Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312883Y/}
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