On weakly infinite-dimensional subspuees

@article{Borst1992,
abstract = {We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and $dim Y = ω_0$ and $dim X = ω_0 + 1$. Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.},
author = {Borst, P.},
journal = {Fundamenta Mathematicae},
keywords = {weakly infinite-dimensional; transfinite dimension; weakly infinite-dimensional space},
language = {eng},
number = {3},
pages = {225-235},
title = {On weakly infinite-dimensional subspuees},
url = {http://eudml.org/doc/211942},
volume = {140},
year = {1992},
}

TY - JOUR
AU - Borst, P.
TI - On weakly infinite-dimensional subspuees
JO - Fundamenta Mathematicae
PY - 1992
VL - 140
IS - 3
SP - 225
EP - 235
AB - We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and $dim Y = ω_0$ and $dim X = ω_0 + 1$. Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.
LA - eng
KW - weakly infinite-dimensional; transfinite dimension; weakly infinite-dimensional space
UR - http://eudml.org/doc/211942
ER -