On Subgroups of Topologized Fundamental Groups and Generalized Coverings

Mehdi Abdullahi Rashid; Behrooz Mashayekhy; Hamid Torabi; Seyyed Zeynal Pashaei

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arXiv · 1602.07965

On Subgroups of Topologized Fundamental Groups and Generalized Coverings

Mehdi Abdullahi Rashid·Behrooz Mashayekhy·Hamid Torabi·Seyyed Zeynal Pashaei

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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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Mehdi Abdullahi Rashid, Behrooz Mashayekhy, Hamid Torabi, Seyyed Zeynal Pashaei. 2016-02-25. On Subgroups of Topologized Fundamental Groups and Generalized Coverings. https://arxiv.org/abs/1602.07965

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