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Miroslav Katˇetov ) =FFH=?D J ?LAHEC @EAIEI

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Miroslav Katˇ etov

An approach to covering dimensions

Comment.Math.Univ.Carolinae 36,1 (1995) 151-171.

Abstract: 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 con- sidered dimensions coincides, on these spaces, with the ˇCech-Lebesgue dimension and the height dimension of posets, respectively.

Keywords: Cech-Lebesgue dimension, height dimension of posets, dyadic expan-ˇ sion, rigged finite open covers, partition dimension

AMS Subject Classification: 54F45, 06A10

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