Adequate families of sets and function spaces
Cellularity of a space of subgroups of a discrete group
Given a discrete group , we consider the set of all subgroups of endowed with topology of pointwise convergence arising from the standard embedding of into the Cantor cube . We show that the cellularity for every abelian group , and, for every infinite cardinal , we construct a group with .
Adequate families of sets and Corson compacts
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