The strong Pytkeev$^*$ property of topological spaces
General Topology
2016-08-30 v3
Abstract
Modifying the known definition of a Pytkeev network, we introduce a notion of Pytkeev network and prove that a topological space has a countable Pytkeev network if and only if is countably tight and has a countable Pykeev network. In the paper we establish some stability properties of the class of topological spaces with the strong Pytkeev-property.
Keywords
Cite
@article{arxiv.1607.03599,
title = {The strong Pytkeev$^*$ property of topological spaces},
author = {Taras Banakh},
journal= {arXiv preprint arXiv:1607.03599},
year = {2016}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1412.4268