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.

Bibliographic Details
Authors: Albis González, Víctor Samuel, Sabogal, Sonia
Format: article
Status:Published version
Publication Date:1990
Country:Colombia
Institution:Universidad Nacional de Colombia
Repository:Repositorio UN
Language:Spanish
OAI Identifier:oai:repositorio.unal.edu.co:unal/43272
Online Access:https://repositorio.unal.edu.co/handle/unal/43272
http://bdigital.unal.edu.co/33370/
Access Level:Open access
Keyword:Topological extension
topological space equivalent
homeomorphism
Description
Summary: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.