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Article

Katětov, Miroslav
An approach to covering dimensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 1, pp. 149-169
MSC: 06A06, 06A10, 54F05, 54F45 | MR 1334423 | Zbl 0834.54019
Keywords:
Čech-Lebesgue dimension; height dimension of posets; dyadic expansion; rigged finite open covers; partition dimension
Summary:
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.
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