A Szpilrajn--Marczewski Type Theorem for Concentration Dimension on Polish Spaces

Canadian mathematical bulletin

关键词: Hausdorff dimension;    topological dimension;    Lévy concentration function;    concentration dimension;   

DOI  :  10.4153/CMB-2006-025-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $X$ be a Polish space.We will prove that$$dim_T X=inf {dim_L X': X'ext{ is homeomorphic to} X},$$where $dim_L X$ and $dim_T X$ standfor the concentration dimension andthe topological dimension of $X$, respectively.

【 授权许可】

Unknown