On Cantor manifolds for the small transfinite dimension

@article{MirosławaReńska2006,
abstract = {We show that some of the spaces $X_\alpha $ constructed in [7] are Cantor manifolds for the small transfinite dimension trind, which is transfinite extension of the Menger-Urysohn dimension. That gives us the construction of such spaces that is simpler than constructions of metrizable Cantor manifolds for trind published hitherto. In addition, our examples are disjoint unions of Euclidean cubes and the irrationals.},
author = {Mirosława Reńska},
journal = {Commentationes Mathematicae},
keywords = {Cantor manifolds; small transfinite dimension},
language = {eng},
number = {2},
pages = {null},
title = {On Cantor manifolds for the small transfinite dimension},
url = {http://eudml.org/doc/291900},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Mirosława Reńska
TI - On Cantor manifolds for the small transfinite dimension
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 2
SP - null
AB - We show that some of the spaces $X_\alpha $ constructed in [7] are Cantor manifolds for the small transfinite dimension trind, which is transfinite extension of the Menger-Urysohn dimension. That gives us the construction of such spaces that is simpler than constructions of metrizable Cantor manifolds for trind published hitherto. In addition, our examples are disjoint unions of Euclidean cubes and the irrationals.
LA - eng
KW - Cantor manifolds; small transfinite dimension
UR - http://eudml.org/doc/291900
ER -