Convexity theories III. Classification of certain real convexity theories |
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| Authors: | Helmut Röhrl |
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| Institution: | (1) 9322 La Jolla Farms Road, 92031 La Jolla, CA, USA;(2) Present address: Mathematisches Institut, Technische Universität München, Postfach 202420, D-8000 München 2, Germany |
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| Abstract: | In this paper we classify all real convexity theories  that contain the standard convexity theory  c. For this purpose we consider three subcases: finitary; infinitary and  (sc\c) Ø; infinitary and sc=c. In each of these subcases one encounters a phenomenon resembling bifurcation.This research was supported by the Deutsche Forschungsgemeinschaft. |
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