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arXiv:1908.11693 [math.GN]AbstractReferencesReviewsResources

Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces

J. F. Peters, I. J. Dochviri

Published 2019-08-30Version 1

In this paper, we have established boundaries of cardinal numbers of nonempty sets in finite non-$T_1$ topological spaces using interval analysis. For a finite set with known cardinality, we give interval estimations based on the closure and interior of the set. In this paper, we give new results for the cardinalities of non-empty semi-open sets in non-$T_1$ topological spaces as well as in extremely disconnected and hyperconnected topological spaces.

Comments: 6 pages
Categories: math.GN
Subjects: 54A25, 05A19
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