On locally 1-connectedness of quotient spaces and its applications to fundamental groups

Ali Pakdaman, Hamid Torabi, Behrooz Mashayekhy

Let $X$ be a locally 1-connected metric space and $A_1,A_2,...,A_n$ be connected, locally path connected and compact pairwise disjoint subspaces of $X$. In this paper, we show that…