The Baire category of the hyperspace of nontrivial convergent sequences
Popławski, Michał
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.