On Subgroups of Topologized Fundamental Groups and Generalized Coverings

2016/02/25 by Mehdi Abdullahi Rashid, Behrooz Mashayekhy, Rashid, Mehdi Abdullahi +5 · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1602.07965

Abstract

In this paper, we are interested in study 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.

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• Comparison of Topologies on Fundamental Groups with Subgroup Topology Viewpoint

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