The notions of closedness and D-connectedness in quantale-valued approach spaces

Author(s):

Muhammad Qasim* , Samed &Ouml Zkan

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we characterize local $T_{0}$ and $T_{1}$ quantale-valued gauge spaces, show how these concepts are related to each other and apply them to $mathcal{L}$-approach distance spaces and $mathcal{L}$-approach system spaces. Furthermore, we give the characterization of a closed point and $D$-connectedness in quantale-valued gauge spaces. Finally, we compare all these concepts to each other.

Keywords:

$mathcal{L}$-approach distance space , $mathcal{L}$-gauge space , topological category , Separation , closedness , D-connectedness

Language:
English
Published:
Categories and General Algebraic Structures with Applications, Volume:12 Issue: 1, Apr 2020
Pages:
149 to 173
https://www.magiran.com/p2086707