Induced mappings on the hyperspace of convergent sequences

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

“…In connection with both concepts, the hyperspace consisting of all nontrivial convergent sequences S c (X), of a metric space X without isolated points, was introduced in 2015 in [9]. Since then, there has been increasing interest in studying S c (X) and several papers presenting relevant properties of this hyperspace have been written: [10], [11], [12], [16], [17] and [18].…”