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.

Detalhes bibliográficos
Autor: Vieira, João Peres [UNESP]
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2015
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositório:Repositório Institucional da UNESP
Idioma:inglês
OAI Identifier:oai:repositorio.unesp.br:11449/172448
Acesso em linha:http://dx.doi.org/10.12775/TMNA.2015.057
http://hdl.handle.net/11449/172448
Access Level:Acceso aberto
Palavra-chave:Coincidence
Fibre bundle
Fibrewise homotopy
Descrição
Resumo: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.