Separation properties and n-point topological extensions

A topological extension of a topological space (X, j) is a topological space (X*,j*) containing (X,j) as a dense subspace. Two topological extensions (X*,j*), and (X*1,j*1) of (X,j) are said to be equivalent if there is a homeomorphism h:(X*,j*) +(X*1,j*1) such that hlX = idx.

Detalhes bibliográficos
Autores: Albis González, Víctor Samuel, Sabogal, Sonia
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1990
País:Colombia
Recursos:Universidad Nacional de Colombia
Repositório:Repositorio UN
Idioma:espanhol
OAI Identifier:oai:repositorio.unal.edu.co:unal/43272
Acesso em linha:https://repositorio.unal.edu.co/handle/unal/43272
http://bdigital.unal.edu.co/33370/
Access Level:Acceso aberto
Palavra-chave:Topological extension
topological space equivalent
homeomorphism
Descrição
Resumo:A topological extension of a topological space (X, j) is a topological space (X*,j*) containing (X,j) as a dense subspace. Two topological extensions (X*,j*), and (X*1,j*1) of (X,j) are said to be equivalent if there is a homeomorphism h:(X*,j*) +(X*1,j*1) such that hlX = idx.