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arXiv · 1703.01578

Some results in quasitopological homotopy groups

T. Nasri·H. Mirebrahimi·H. Torabi
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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.

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T. Nasri, H. Mirebrahimi, H. Torabi. 2017-03-05. Some results in quasitopological homotopy groups. https://arxiv.org/abs/1703.01578

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