Convexity theories. IV: Klein-Hilbert parts in convex modules
type: Item
instance of: scholarly article
title: Convexity theories. IV: Klein-Hilbert parts in convex modules
zbMATH Open document ID: 0823.52004
DOI: 10.1007/BF00877635
author: Helmut Röhrl
author: Dieter Pumplün
published in: Applied Categorical Structures
publication date: 1995-05-28T00:00:00Z
review text: The Klein-Hilbert part relation is introduced over a convex module, and some results, involving especially their associate Klein-Hilbert and respectively Harnack metric, are given. [See also part 0: Foundations, the second author, ibid. 2, No. 1, 13-43 (1994; Zbl 0815.52001), part I: \(\gamma\)-convex spaces, the second author, Constantin Carathéodory: an internat. tribute. Vol. II, 1175- 1209 (1991; Zbl 0759.52002), part II: The Hahn-Banach theorem for real convexity theories, the authors, Res. Cexpo. Math. 18, 387-395 (1991; Zbl 0781.46018), part III: Classification of certain real convexity theories, the second author, Geom. Dedicata 45, No. 3, 323-340 (1993)].
Mathematics Subject Classification ID: 52A01
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 18C05
Mathematics Subject Classification ID: 46M99
zbMATH DE Number: 758380
zbMATH Keywords: discrete module
zbMATH Keywords: affine module
zbMATH Keywords: Klein-Hilbert part relation
zbMATH Keywords: convex module
zbMATH Keywords: Harnack metric
reviewed by: Mihai Turinici
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00877635
OpenAlex ID: W1509427515
description: scientific article; zbMATH DE number 758380