Some results in quasitopological homotopy groups

2017/03/05 by Nasri, T., Mirebrahimi, H., Torabi, H.
#14D06 #54H11 #55Q05 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.01578

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.

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