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arXiv · 1712.00803

On resolvability of Lindel\"of generated spaces

Maria A. Filatova·Alexander V. Osipov
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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.

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Maria A. Filatova, Alexander V. Osipov. 2017-12-03. On resolvability of Lindel\"of generated spaces. https://arxiv.org/abs/1712.00803

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