Displaying similar documents to “On orthogonal mappings and their dimensions”

An approach to covering dimensions

Miroslav Katětov (1995)

Commentationes Mathematicae Universitatis Carolinae

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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.