Title : ( Some results in quasitopological homotopy groups )
Authors: Tayyebe Nasri , Bibi Hanieh Mirebrahimi Paziquee , Hamid Torabi Ardakani ,
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Abstract
In this paper we show that the nth quasitopological homotopy group of a topological space is isomorphic to -n−1-th quasitopological homotopy group of its loop space and by this fact we obtain some results about quasitopological homotopy groups. Finally, using the long exact sequence of a based pair and a fibration in qTop introduced by Brazas in 2013, we obtain some results in this field.
Keywords
, Homotopy group, Quasitopological group, Fibration
@article{paperid:1073807,
author = {Tayyebe Nasri and Mirebrahimi Paziquee, Bibi Hanieh and Torabi Ardakani, Hamid},
title = {Some results in quasitopological homotopy groups},
journal = {Ukrainian Mathematical Journal},
year = {2020},
volume = {72},
number = {12},
month = {December},
issn = {0041-5995},
pages = {1663--1668},
numpages = {5},
keywords = {Homotopy group; Quasitopological group; Fibration},
}
%0 Journal Article
%T Some results in quasitopological homotopy groups
%A Tayyebe Nasri
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Torabi Ardakani, Hamid
%J Ukrainian Mathematical Journal
%@ 0041-5995
%D 2020
