Affiliation:
1. Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
2. Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract
Let X be a locally 1-connected metric space and A1,A2,...,An be connected,
locally path connected and compact pairwise disjoint subspaces of X. In this
paper, we show that the quotient space X/(A1,A2,..., An) obtained from X by
collapsing each of the sets Ai?s to a point, is also locally 1-connected.
Moreover, we prove that the induced continuous homomorphism of
quasitopological fundamental groups is surjective. Finally, we give some
applications to find out some properties of the fundamental group of the
quotient space X/(A1,A2,...,An).
Publisher
National Library of Serbia