dimension in some general metric spaces
Elvira Mayordomo · 2012
We introduce the concept of eective dimension for a general metric space. Eective dimension was dened by Lutz in (Lutz 2003) for Cantor space and has also been extended to Euclidean space. Our extension to other metric spaces is based on a supergale characterization of Hausdor dimension. We present here the concept of constructive dimension and its characterization in terms of Kolmogorov complexity. Further research directions are indicated.