English

Some results in quasitopological homotopy groups

Algebraic Topology 2017-03-07 v1

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

Cite

@article{arxiv.1703.01578,
  title  = {Some results in quasitopological homotopy groups},
  author = {T. Nasri and H. Mirebrahimi and H. Torabi},
  journal= {arXiv preprint arXiv:1703.01578},
  year   = {2017}
}

Comments

9 pages, 1 figure