Geodesic
Local separation, closedness and zero-dimensionality in quantale-valued reflexive spaces
Filomat, Tome 37 (2023) no. 12, p. 3891

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DOI

In this paper, first, we introduce the category Q-RRel consisting of quantale-valued reflexive spaces and Q-monotone mappings, and prove that it is a normalized topological category over Set, the category of sets and functions. Furthermore, we characterize explicitly each of local T i , i = 0, 1, 2 and PreT 2 Q-reflexive spaces and examine the relationships among them. Finally, we give the characterizations of (strongly) closed subsets and zero-dimensional objects in this category.
DOI : 10.2298/FIL2312891O
Classification : 54B30, 54A05, 54D10, 54F45, 18B35, 06F07
Keywords: Quantale-valued reflexive space, topological category, separation, closedness, zero-dimensionality 
Samed Özkan. Local separation, closedness and zero-dimensionality in quantale-valued reflexive spaces. Filomat, Tome 37 (2023) no. 12, p. 3891 . doi: 10.2298/FIL2312891O
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     author = {Samed \"Ozkan},
     title = {Local separation, closedness and zero-dimensionality in quantale-valued reflexive spaces},
     journal = {Filomat},
     pages = {3891 },
     year = {2023},
     volume = {37},
     number = {12},
     doi = {10.2298/FIL2312891O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312891O/}
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