Path connectedness, local path connectedness and contractibility of ${\mathcal{S}}_c(X)$

Javier Camargo, David Maya, Patricia Pellicer-Covarrubias

The hyperspace of all nontrivial convergent sequences in a Hausdorff space $X$ is denoted by ${\mathcal{S}}_c(X)$. This hyperspace is endowed with the Vietoris topology. In connectio…