Geodesic
On the Hausdorff Dimension of Topological Subspaces
Tomasz Szarek 1   ; Maciej Śl/eczka 1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 3, pp. 201-205 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba54-3-2
Keywords: shown every polish space dim admits compact subspace dim where dim dim denote topological hausdorff dimensions respectively

Tomasz Szarek  1   ; Maciej Śl/eczka  1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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     title = {On the {Hausdorff} {Dimension} of {Topological} {Subspaces}},
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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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