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Some Results in Quasitopological Homotopy Groups
Ukrainian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-06-18 , DOI: 10.1007/s11253-021-01898-y
T. Nasri , H. Mirebrahimi , H. Torabi

It is shown that the nth quasitopological homotopy group of a topological space is isomorphic to the (n − 1)th quasitopological homotopy group of its loop space. By using this fact, we obtain some results about quasitopological homotopy groups. Finally, with the help of the long exact sequence of a based pair and a fibration in the qTop introduced by Brazas in 2013, we obtain some results in this field.



中文翻译:

准拓扑同伦群的一些结果

证明了一个拓扑空间的第n个拟拓扑同伦群与其环空间的第( n- 1)个拟拓扑同伦群同构。利用这一事实,我们得到了一些关于准拓扑同伦群的结果。最后,借助 Brazas 在 2013 年引入的 qTop 中基对的长精确序列和纤维化,我们在该领域取得了一些成果。

更新日期:2021-06-18
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