| Autor: |
Ho Won Choi, Kee Young Lee, Hye Seon Shin |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Topology and its Applications. 264:382-393 |
| ISSN: |
0166-8641 |
| DOI: |
10.1016/j.topol.2019.06.012 |
| Popis: |
Let E ( X ) be the set of based homotopy classes of based self-homotopy equivalences of a CW-complex X. The concept of E ( X ) is applied to the category of pairs and is extended to a general concept E ( α ) for a map α : A → B . In this study, E ( α ) is generalized to E γ ( α ) for two objects α and γ. Several generalized subgroups of E ( α ) or E γ ( α ) are obtained and are combined to form an exact sequence. The exactness and the split property of this sequence is investigated. In particular, the sequence of a product space or a wedge space is demonstrated to be a split exact sequence. The split property and the exactness are used to completely compute those subgroups. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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