Axiomatic and algebraic convexity of regular pairs
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Two dimensional Chebyshev systems, quoted also as regular pairs, induce convex structures both in an axiomatic and in an algebraic way. The aim of this note is to link these structures, by showing that they coincide.
KeywordsConvex structure Planar convexity Chebyshev system
Mathematics Subject ClassificationPrimary 52A10 Secondary 26A51 41A50 52A01 52A35
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