Szpilrajn type theorem for concentration dimension Jozef Myjak, Tomasz Szarek (2002) Fundamenta Mathematicae Let X be a locally compact, separable metric space. We prove that d i m T X = i n f d i m L X ' : X ' i s h o m e o m o r p h i c t o X , where d i m L X and d i m T X stand for the concentration dimension and the topological dimension of X, respectively.