%0 Journal Article
%T The notions of closedness and D-connectedness in quantale-valued approach spaces
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Qasim, Muhammad
%A Özkan, Samed
%D 2020
%\ 01/01/2020
%V 12
%N 1
%P 149-173
%! The notions of closedness and D-connectedness in quantale-valued approach spaces
%K $mathcal{L}$-approach distance space
%K $mathcal{L}$-gauge space
%K topological category
%K Separation
%K closedness
%K D-connectedness
%R
%X 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.
%U http://cgasa.sbu.ac.ir/article_87411_0927cf623a93d8d592cac3c1677607b0.pdf