Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively.
@article{118741, author = {Miroslav Kat\v etov}, title = {An approach to covering dimensions}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {149-169}, zbl = {0834.54019}, mrnumber = {1334423}, language = {en}, url = {http://dml.mathdoc.fr/item/118741} }
Katětov, Miroslav. An approach to covering dimensions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 149-169. http://gdmltest.u-ga.fr/item/118741/
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