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On $ω$ -resolvable and almost- $ω$ -resolvable spaces

J. Angoa; M. Ibarra; Angel Tamariz-Mascarúa — 2008

Commentationes Mathematicae Universitatis Carolinae

We continue the study of almost- $ω$ -resolvable spaces beginning in A. Tamariz-Mascar’ua, H. Villegas-Rodr’ıguez, , Comment. Math. Univ. Carolin. (2002), no. 4, 687–705. We prove in ZFC: (1) every crowded $T_{0}$ space with countable tightness and every $T_{1}$ space with $π$ -weight $\leq ℵ_{1}$ is hereditarily almost- $ω$ -resolvable, (2) every crowded paracompact $T_{2}$ space which is the closed preimage of a crowded Fréchet $T_{2}$ space in such a way that the crowded part of each fiber is $ω$ -resolvable, has this property too, and (3)...

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On ω -resolvable and almost- ω -resolvable spaces

On $ω$ -resolvable and almost- $ω$ -resolvable spaces