Geodesic
On resolvability of Lindel\"of generated spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1260-1270.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study the properties of $\mathscr{P}$ generated spaces (by analogy with compactly generated). We prove that a regular Lindelöf generated space with uncountable dispersion character is resolvable. It is proved that Hausdorff hereditarily $L$-spaces are $L$-tight spaces which were defined by István Juhász, 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: resolvable space, $k$-space, tightness, $\omega$-resolvable space, Lindelöf generated space, $\mathscr{P}$ generated space, $\mathscr{P}$-tightness. 
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M. A. Filatova; A. V. Osipov. On resolvability of Lindel\"of generated spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1260-1270. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a53/

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