A note on closedness and connectedness in the category of proximity spaces
In this paper, an explicit characterization of the separation properties T0 and T1 at a point p is given in the topological category of proximity spaces. Furthermore, the (strongly) closed and (strongly) open subobjects of an object are characterized in the category of proximity spaces and also the characterization of each of the various notions of the connected objects in this category are given.
2019 ◽
Vol 2
(4)
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pp. 245-253
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2013 ◽
Vol 2013
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pp. 1-14
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2021 ◽
Vol 118
(12)
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pp. e2021244118
Keyword(s):
2011 ◽
pp. 397-402
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2019 ◽
Vol 2019
(750)
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pp. 1-52
2001 ◽
Vol 32
(6)
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pp. 1327-1341
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