TY - JOUR
ID - 87411
TI - The notions of closedness and D-connectedness in quantale-valued approach spaces
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Qasim, Muhammad
AU - Özkan, Samed
AD - Department of Mathematics, School of Natural Sciences, National University of Sciences & Technology, Islamabad.
AD - Department of Mathematics, Faculty of Art & Science, Hacı Bektaş Veli University, Nevşehir, Turkey
Y1 - 2020
PY - 2020
VL - 12
IS - 1
SP - 149
EP - 173
KW - $mathcal{L}$-approach distance space
KW - $mathcal{L}$-gauge space
KW - topological category
KW - Separation
KW - closedness
KW - D-connectedness
DO -
N2 - 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.
UR - http://cgasa.sbu.ac.ir/article_87411.html
L1 - http://cgasa.sbu.ac.ir/article_87411_0927cf623a93d8d592cac3c1677607b0.pdf
ER -