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 S-1 for spaces which are fibre bundles over S' and the fibre is the torus T. We classify all pairs of self-maps over S-1 which can be deformed fibrewise to a pair of coincidence free maps.

Detalhes bibliográficos
Autor: Vieira, Joao Peres [UNESP]
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/161165
Acesso em linha:http://hdl.handle.net/11449/161165
Access Level:acceso abierto
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 S-1 for spaces which are fibre bundles over S' and the fibre is the torus T. We classify all pairs of self-maps over S-1 which can be deformed fibrewise to a pair of coincidence free maps.