Some results in quasitopological homotopy groups
| Autor: | Tayyebe Nasri, Hamid Torabi, Hanieh Mirebrahimi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Exact sequence Homotopy group General Mathematics 55Q05 54H11 14D06 010102 general mathematics Fibration Mathematics::General Topology Field (mathematics) Topological space Mathematics::Algebraic Topology 01 natural sciences 010101 applied mathematics Loop space FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Algebra over a field 0101 mathematics Mathematics |
| Zdroj: | Ukrains’kyi Matematychnyi Zhurnal. 72:1663-1668 |
| ISSN: | 1027-3190 |
| DOI: | 10.37863/umzh.v72i12.564 |
| Popis: | 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. Comment: 9 pages, 1 figure |
| Databáze: | OpenAIRE |
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