On the Hausdorff Dimension of Topological Subspaces
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 201-205
MSC: Primary 54A05; Secondary 54B05.
DOI: 10.4064/ba54-3-2
Abstract
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.
