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Adequate families of sets and function spaces

Arkady G. Leiderman — 1988

Commentationes Mathematicae Universitatis Carolinae

Adequate families of sets and Corson compacts

Arkady G. Leiderman; Genadij A. Sokolov — 1984

Commentationes Mathematicae Universitatis Carolinae

Cellularity of a space of subgroups of a discrete group

Arkady G. Leiderman; Igor V. Protasov — 2008

Commentationes Mathematicae Universitatis Carolinae

Given a discrete group $G$ , we consider the set $ℒ (G)$ of all subgroups of $G$ endowed with topology of pointwise convergence arising from the standard embedding of $ℒ (G)$ into the Cantor cube ${0, 1}^{G}$ . We show that the cellularity $c (ℒ (G)) \leq ℵ_{0}$ for every abelian group $G$ , and, for every infinite cardinal $τ$ , we construct a group $G$ with $c (ℒ (G)) = τ$ .

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Currently displaying 1 – 3 of 3

Adequate families of sets and function spaces

Adequate families of sets and Corson compacts

Cellularity of a space of subgroups of a discrete group