Connectivity with respect to α-discrete closure operators

We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences formed by points of AA. It is shown that conn...

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Bibliographic Details
Main Author: Šlapal Josef
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0046