Geodesic
An approach to covering dimensions
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 149-169.

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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.
Classification : 06A06, 06A10, 54F05, 54F45
Keywords: Čech-Lebesgue dimension; height dimension of posets; dyadic expansion; rigged finite open covers; partition dimension 
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     title = {An approach to covering dimensions},
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Katětov, Miroslav. An approach to covering dimensions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 149-169. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a17/