On resolvability of Lindel\"of generated spaces
General Topology
2017-12-05 v1
Abstract
In this paper we study the properties of P-generated spaces (by analogy with compactly generated). We prove that a regular Lindel\"of generated space with uncountable dispersion character is resolvable. It is proved that Hausdorff hereditarily L-spaces are L-tight spaces which were defined by Istv\'an Juh\'asz, Jan van Mill in (Variations on countable tightness, arXiv:1702.03714v1). We also prove {\omega}-resolvability of regular L-tight space with uncountable dispersion character.
Keywords
Cite
@article{arxiv.1712.00803,
title = {On resolvability of Lindel\"of generated spaces},
author = {Maria A. Filatova and Alexander V. Osipov},
journal= {arXiv preprint arXiv:1712.00803},
year = {2017}
}
Comments
11 pages, 1 figure