ITES2001 - Fourth Italian-Spanish Conference on
GENERAL TOPOLOGY AND ITS APPLICATIONS
Bressanone, 27-30 June 2001

Dimensional Analysis
Some recent results and open problems

Dietrich Kölzow
Matematisches Institut Universität Erlangen-Nürnberg, Germany

The abstract of the talk (see below) may be downloaded in one of the following formats:


Dimensional background of Hilbert's thirteenth problem
(Menger's and Noebeling's dimensionally universal spaces;
Sternfeld's characterization of topological dimension
by superposition of functions and measures, based on
the Theorem of Arnold-Kolmogorov-Ostrand).

Fractalization and chaotization by re-metrization
(Zaydler's and Zuehlke's results on the set of
paper-folding sequences).

Independency of topological, Hausdorff, and Fourier dimension
(Bluhm's construction of sets with pre-assigned dimensions, based
on the results of Besicovitch, Jarnik, Kahane, and Kaufman).


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