On the Hausdorff Dimension of Topological Subspaces
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 201-205
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is shown that every Polish space $X$ with $\dim_{\rm T} X\ge d$
admits a compact subspace $Y$ such that
$\dim_{\rm H} Y\ge d$ where $\dim_{\rm T}$
and $\dim_{\rm H}$ denote the topological and Hausdorff dimensions,
respectively.
Keywords:
shown every polish space dim admits compact subspace dim where dim dim denote topological hausdorff dimensions respectively
Affiliations des auteurs :
Tomasz Szarek 1 ; Maciej Śl/eczka 1
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author = {Tomasz Szarek and Maciej \'Sl/eczka},
title = {On the {Hausdorff} {Dimension} of {Topological} {Subspaces}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {201--205},
publisher = {mathdoc},
volume = {54},
number = {3},
year = {2006},
doi = {10.4064/ba54-3-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba54-3-2/}
}
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Tomasz Szarek; Maciej Śl/eczka. On the Hausdorff Dimension of Topological Subspaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 201-205. doi: 10.4064/ba54-3-2
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