Szpilrajn type theorem for concentration dimension

Jozef Myjak, and Tomasz Szarek. "Szpilrajn type theorem for concentration dimension." Fundamenta Mathematicae 172.1 (2002): 19-25. <http://eudml.org/doc/283142>.

@article{JozefMyjak2002,
abstract = {Let X be a locally compact, separable metric space. We prove that $dim_\{T\} X = inf\{dim_\{L\} X^\{\prime \}: X^\{\prime \} is homeomorphic to X\}$, where $dim_\{L\} X$ and $dim_\{T\} X$ stand for the concentration dimension and the topological dimension of X, respectively.},
author = {Jozef Myjak, Tomasz Szarek},
journal = {Fundamenta Mathematicae},
keywords = {Hausdorff dimension; topological dimension; Lévy concentration function; concentration dimension; locally compact separable metric space},
language = {eng},
number = {1},
pages = {19-25},
title = {Szpilrajn type theorem for concentration dimension},
url = {http://eudml.org/doc/283142},
volume = {172},
year = {2002},
}

TY - JOUR
AU - Jozef Myjak
AU - Tomasz Szarek
TI - Szpilrajn type theorem for concentration dimension
JO - Fundamenta Mathematicae
PY - 2002
VL - 172
IS - 1
SP - 19
EP - 25
AB - Let X be a locally compact, separable metric space. We prove that $dim_{T} X = inf{dim_{L} X^{\prime }: X^{\prime } is homeomorphic to X}$, where $dim_{L} X$ and $dim_{T} X$ stand for the concentration dimension and the topological dimension of X, respectively.
LA - eng
KW - Hausdorff dimension; topological dimension; Lévy concentration function; concentration dimension; locally compact separable metric space
UR - http://eudml.org/doc/283142
ER -