On the Hausdorff Dimension of Topological Subspaces

Tomasz Szarek, and Maciej Ślęczka. "On the Hausdorff Dimension of Topological Subspaces." Bulletin of the Polish Academy of Sciences. Mathematics 54.3 (2006): 201-205. <http://eudml.org/doc/280728>.

@article{TomaszSzarek2006,
abstract = {It is shown that every Polish space X with $dim_\{T\} X ≥ d$ admits a compact subspace Y such that $dim_\{H\} Y ≥ d$ where $dim_\{T\}$ and $dim_\{H\}$ denote the topological and Hausdorff dimensions, respectively.},
author = {Tomasz Szarek, Maciej Ślęczka},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {topological dimension; Hausdorff dimension},
language = {eng},
number = {3},
pages = {201-205},
title = {On the Hausdorff Dimension of Topological Subspaces},
url = {http://eudml.org/doc/280728},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Tomasz Szarek
AU - Maciej Ślęczka
TI - On the Hausdorff Dimension of Topological Subspaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 3
SP - 201
EP - 205
AB - It is shown that every Polish space X with $dim_{T} X ≥ d$ admits a compact subspace Y such that $dim_{H} Y ≥ d$ where $dim_{T}$ and $dim_{H}$ denote the topological and Hausdorff dimensions, respectively.
LA - eng
KW - topological dimension; Hausdorff dimension
UR - http://eudml.org/doc/280728
ER -