The Baire category of the hyperspace of nontrivial convergent sequences
Abstract
Assume that X is a regular space. We study topological properties of the family Sc(X) of nontrivial convergent sequences in X equipped with the Vietoris topology. We show that if X has no isolated points, then Sc(X) is a space of the first category which answers the question posed by S. Garcia-Ferreira and Y.F. Ortiz-Castillo.
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