Generalized cell structures
General Topology
2023-10-23 v2
Abstract
Cell structures were introduced by W. Debski and E. Tymchatyn as a way to study some classes of topological spaces and their continuous functions by means of discrete approximations. In this work we weaken the notion of cell structure and prove that the resulting class of topological space admitting such a generalized cell structure includes non-regular spaces.
Keywords
Cite
@article{arxiv.2102.07905,
title = {Generalized cell structures},
author = {Ana Hernández-Dávila and Benjamín A. Itzá-Ortiz and Rocío Leonel-Gómez},
journal= {arXiv preprint arXiv:2102.07905},
year = {2023}
}
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17 pages