arXiv Analytics

Sign in

arXiv:1703.01578 [math.AT]AbstractReferencesReviewsResources

Some results in quasitopological homotopy groups

T. Nasri, H. Mirebrahimi, H. Torabi

Published 2017-03-05Version 1

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.

Comments: 9 pages, 1 figure
Categories: math.AT
Subjects: 55Q05, 54H11, 14D06
Related articles: Most relevant | Search more
arXiv:1005.1300 [math.AT] (Published 2010-05-07, updated 2011-06-10)
On the loop space of a 2-category
arXiv:2402.01110 [math.AT] (Published 2024-02-02, updated 2024-04-12)
Homotopy Groups and Puppe Sequence of Digraphs
arXiv:1709.06839 [math.AT] (Published 2017-09-20)
Products and coproducts in string topology