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arXiv · 1908.11693

Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces

J. F. Peters·I. J. Dochviri
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Abstract

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.

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BibTeXRIS

J. F. Peters, I. J. Dochviri. 2019-08-30. Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces. https://arxiv.org/abs/1908.11693

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