The notions of closedness and D-connectedness in quantale-valued approach spaces
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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.
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Journal title
volume 12 issue 1
pages 149- 173
publication date 2020-01-01
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