Coincidence of maps on torus fibre bundles over the circle

The main purpose of this work is to study coincidences of fibre- preserving self-maps over the circle S1 for spaces which are fibre bundles over S1 and the fibre is the torus T. We classify all pairs of self-maps over S1 which can be deformed fibrewise to a pair of coincidence free maps.

Detalles Bibliográficos
Autor: Vieira, João Peres [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/172448
Acceso en línea:http://dx.doi.org/10.12775/TMNA.2015.057
http://hdl.handle.net/11449/172448
Access Level:acceso abierto
Palabra clave:Coincidence
Fibre bundle
Fibrewise homotopy
Descripción
Sumario:The main purpose of this work is to study coincidences of fibre- preserving self-maps over the circle S1 for spaces which are fibre bundles over S1 and the fibre is the torus T. We classify all pairs of self-maps over S1 which can be deformed fibrewise to a pair of coincidence free maps.