Title of article :
On subgroups of topologized fundamental groups and generalized coverings
Author/Authors :
Abdullahi Rashid ، M. - Ferdowsi University of Mashhad , Mashayekhy ، B. - Ferdowsi University of Mashhad , Torabi ، H. - Ferdowsi University of Mashhad , Pashaei ، S. Z. - Ferdowsi University of Mashhad
Abstract :
In this paper, we are interested in studying subgroups of topologized fundamental groups and their influences on generalized covering maps.More precisely, we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology. Moreover, we present some conditions under which generalized coverings, semicoverings and coverings are equal.
Keywords :
Generalized covering , quasitopological fundamental group , whisker topology , semilocally small generated , homotopically Hausdorff
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
