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Categorical Methods in Algebra and Topology (CatMAT 2000)
August 21-25, 2000
University of Bremen
Bremen, Germany

Organizers
Hans-E. Porst, Horst Herrlich

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CAT and TOP thinking for industrial solutions
by
Rolf D. Brandt
BEB, Hannover, Germany

Most people are working and thinking "in points" or "pointwise" instead of having all relevant relations in mind. Most of the applied models are graphs, most of the "connections" of "information points" or "model points" can be more easily handled if we think and work topologically and/or categorically. The existing "universe" of information (i.e. data) needs urgently other navigation systems than the existing ones, which are of linear order or at most hierarchical (i.e. trees). We need "topological navigators" ! We will give examples of applied cat thinking and top thinking in areas where other people use artificial and/or complicate numerical algorithms. Currently pretopologies are of interest to improve pattern recognition algorithms.

Date received: June 16, 2000


Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeq-48.