Geodesic
A Szpilrajn–Marczewski Type Theorem for Concentration Dimension on Polish Space
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 247-255

Voir la notice de l'article provenant de la source Cambridge University Press

Let $X$ be a Polish space. We will prove that $${{\dim}_{T}}X=\inf \left\{ {{\dim}_{L}}{X}'\,:\,{X}'\,\text{is homeomorphic to }X\, \right\},$$ where ${{\dim}_{L}}\,X$ and ${{\dim}_{T}}\,X$ stand for the concentration dimension and the topological dimension of $X$ , respectively.
DOI : 10.4153/CMB-2006-025-1
Mots-clés : 11K55, 28A78, Hausdorff dimension, topological dimension, Lévy concentration function, concentration dimension 
Myjak, Józef; Szarek, Tomasz; Śleçzka, Maciej. A Szpilrajn–Marczewski Type Theorem for Concentration Dimension on Polish Space. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 247-255. doi: 10.4153/CMB-2006-025-1
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     journal = {Canadian mathematical bulletin},
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