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Nonclosed simplices and quasi-simplices

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

René Fourneau
René Fourneau
Affiliation:
Institut de Mathématique, Université de Liège, 15, avenue des Tilleuls, B-4000, Liège
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Extract

A quasi-simplex of ℝd is the closure of a Choquet simplex of ℝd. We characterize these quasi-simplices and we use this characterization to describe the line-free Choquet simplices of ℝd.

MSC classification

Secondary: 52A20: Convex sets in $n$ dimensions (including convex hypersurfaces)
Type
Research Article
Information
Mathematika , Volume 24 , Issue 1 , June 1977 , pp. 71 - 85
Copyright
Copyright © University College London 1977

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References

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