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Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107669
Abstract: Abstract We demonstrate a one-to-one correspondence between idempotent closure operators and the so-called saturated quasi-uniform structures on a category C . Not only this result allows to obtain a categorical counterpart P of the Csaszar-Pervin…
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Keywords:
closure operators;
uniform structures;
topology;
closure ... See more keywords
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Published in 2022 at "Filomat"
DOI: 10.2298/fil2220027k
Abstract: 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…
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Keywords:
closure operators;
uniform filter;
filter spaces;
bounded uniform ... See more keywords