Luis Miguel Villegas-Silva
On resolvable spaces and groups

Comment.Math.Univ.Carolinae 36,3 (1995) 579-584.

Abstract:It is proved that every uncountable $\omega $-bounded group and every homogeneous space containing a convergent sequence are resolvable. We find some conditions for a topological group topology to be irresolvable and maximal.

Keywords: resolvable, maximal, $\alpha $-bounded
AMS Subject Classification: 20K45, 54D20, 22A05, 54H11

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