In this paper, some properties of locally antisymmetrically connected spaces which are the localized version of the antisymmetrically connected $T_0$-quasi-metric spaces constructed as the natural counterparts of connected complementary graphs, are presented in terms of asymmetric norms.
According to that, we investigated some different aspects and examples of local antisymmetric connectedness in the framework of asymmetrically normed real vector spaces.
Specifically, it is proved that the structures of antisymmetric connectedness and local antisymmetric connectedness coincide for the $T_0$-quasi-metrics induced by the asymmetric norms which
associate the theory of quasi-metrics with functional analysis.
Antisymmetry component Asymmetrically normed real vector space Antisymmetric path Complementary graph Connected graph Local antisymmetric connectedness Symmetrization metric Symmetric pair $T_0$-quasi-metric
Primary Language | English |
---|---|
Subjects | Topology |
Journal Section | Articles |
Authors | |
Early Pub Date | September 18, 2023 |
Publication Date | September 30, 2023 |
Submission Date | July 6, 2023 |
Acceptance Date | September 10, 2023 |
Published in Issue | Year 2023 Volume: 6 Issue: 3 |
Universal Journal of Mathematics and Applications
The published articles in UJMA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.