{ "id": "1703.01578", "version": "v1", "published": "2017-03-05T09:44:52.000Z", "updated": "2017-03-05T09:44:52.000Z", "title": "Some results in quasitopological homotopy groups", "authors": [ "T. Nasri", "H. Mirebrahimi", "H. Torabi" ], "comment": "9 pages, 1 figure", "categories": [ "math.AT" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-03-05T09:44:52.000Z" } ], "analyses": { "subjects": [ "55Q05", "54H11", "14D06" ], "keywords": [ "long exact sequence", "nth quasitopological homotopy group", "loop space", "isomorphic", "topological space" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }