On certain compact topological spaces.

Valdivia, Manuel. "On certain compact topological spaces.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 81-84. <http://eudml.org/doc/44244>.

@article{Valdivia1997,
abstract = {A compact topological space K is in the class A if it is homeomorphic to a subspace H of [0,1]I, for some set of indexes I, such that, if L is the subset of H consisting of all \{xi : i C I\} with xi=0 except for a countable number of i's, then L is dense in H. In this paper we show that the class A of compact spaces is not stable under continuous maps. This solves a problem posed by Deville, Godefroy and Zizler.},
author = {Valdivia, Manuel},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Espacio topológico compacto; Homeomorfismos; Espacios de Banach; Funciones continuas; Funciones reales},
language = {eng},
number = {1},
pages = {81-84},
title = {On certain compact topological spaces.},
url = {http://eudml.org/doc/44244},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Valdivia, Manuel
TI - On certain compact topological spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 81
EP - 84
AB - A compact topological space K is in the class A if it is homeomorphic to a subspace H of [0,1]I, for some set of indexes I, such that, if L is the subset of H consisting of all {xi : i C I} with xi=0 except for a countable number of i's, then L is dense in H. In this paper we show that the class A of compact spaces is not stable under continuous maps. This solves a problem posed by Deville, Godefroy and Zizler.
LA - eng
KW - Espacio topológico compacto; Homeomorfismos; Espacios de Banach; Funciones continuas; Funciones reales
UR - http://eudml.org/doc/44244
ER -