Geodesic
Closure operators and connectedness in bounded uniform filter spaces
Filomat, Tome 36 (2022) no. 20, p. 7027

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DOI

In this paper, we characterize both closed and strongly closed subobjects in the category of bounded uniform filter spaces and introduce two notions of closure operators which satisfy weakly hereditary, idempotent and productive properties. We further characterize each of T j (j = 0, 1) bounded uniform filter spaces using these closure operators and examine that each of them form quotient-reflective subcategories of the category of bounded uniform filter spaces. Also, we characterize connected bounded uniform filter spaces. Finally, we introduce ultraconnected objects in topological category and examine the relationship among irreducible, ultraconnected and connected bounded uniform filter spaces.
DOI : 10.2298/FIL2220027K
Classification : 54B30, 18B99, 18D15, 54A05, 54D10
Keywords: Closure operators, bounded uniform filter spaces, strongly closed subobjects, connected objects, irreducible objects, ultraconnected objects, topological category 
Sana Khadim; Muhammad Qasim. Closure operators and connectedness in bounded uniform filter spaces. Filomat, Tome 36 (2022) no. 20, p. 7027 . doi: 10.2298/FIL2220027K
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     title = {Closure operators and connectedness in bounded uniform filter spaces},
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     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2220027K},
     language = {en},
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