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A space with maximal discrepancy between its Katêtov and covering dimension
Authors:Jan J. Dukstra
Affiliation:Mathematisch Institut, Universiteit van Amsterdam, Roetersstraat 15, Amsterdam 1004, The Netherlands
Abstract:It is shown, using a non-measurable partition of the real line, that the covering dimension of a modified Niemytzki space is infinite while its Katêtov dimension is zero.
Keywords:54F45
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