Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces
General Topology
2019-09-02 v1
Abstract
In this paper, we have established boundaries of cardinal numbers of nonempty sets in finite non- 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- topological spaces as well as in extremely disconnected and hyperconnected topological spaces.
Keywords
Cite
@article{arxiv.1908.11693,
title = {Cardinality Estimations of Sets with Interval Uncertainties in Finite Topological Spaces},
author = {J. F. Peters and I. J. Dochviri},
journal= {arXiv preprint arXiv:1908.11693},
year = {2019}
}
Comments
6 pages