| Texto completo | |
| Autor(es): |
Fenille, Marcio Colombo
;
Goncalves, Daciberg Lima
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Acta Mathematica Sinica - English Series; v. 41, n. 5, p. 14-pg., 2025-05-01. |
| Resumo | |
For each based map f: X -> & Ropf;P2 from a closed surface into the real projective plane, we compute its absolute and twisted degrees and describe the action of the fundamental group of & Ropf;P2 over the based homotopy class of f. We emphasize the finding that for any nonorientable closed surface, there exists only one based homotopy class of maps from it into & Ropf;P2 whose maps have twisted degree zero and absolute degree nonzero-which shows that, unlike the absolute degree, the twisted degree is not able to detect the strong surjectivity in this setting. In all the other scenarios, the absolute degree of each map is either equal to the twisted degree or its absolute value-and so the twisted degree detects strong surjectivity. (AU) | |
| Processo FAPESP: | 22/16455-6 - Topologia algébrica, geométrica e diferencial |
| Beneficiário: | Daciberg Lima Gonçalves |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |