Coincidences of multiple fibre-preserving maps
In this paper we study the following problem: given X↪M→B and Y↪N→B smooth fibre bundles over B and f1,…,fk:M→N fibre-preserving maps, is it possible to deform (f1,…,fk)∼(f1′,…,fk′) via a fibrewise homotopy over B such that the set of coincidence points of f1′,…,fk′:M→N is empty? We study this quest...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/205662 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.topol.2020.107550 http://hdl.handle.net/11449/205662 |
| Access Level: | acceso abierto |
| Palabra clave: | Coincidence Fibre-preserving maps Obstruction theory |
| Sumario: | In this paper we study the following problem: given X↪M→B and Y↪N→B smooth fibre bundles over B and f1,…,fk:M→N fibre-preserving maps, is it possible to deform (f1,…,fk)∼(f1′,…,fk′) via a fibrewise homotopy over B such that the set of coincidence points of f1′,…,fk′:M→N is empty? We study this question making use of obstruction theory. |
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