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arxiv: 1403.6986 · v2 · pith:ZDC5ELCSnew · submitted 2014-03-27 · 🧮 math.GN · math.FA

Compact convex sets in 2-dimensional asymmetric normed lattices

Natalia Jonard-P\'erez , Enrique A. S\'anchez-P\'erez This is my paper
classification 🧮 math.GN math.FA
keywords convexasymmetriccompactsetsdimensionalgeometriclatticesnormed
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We study the geometric structure of compact convex sets in 2-dimensional asymmetric normed lattices. We prove that every q-compact convex set is strongly q-compact and we give a complete geometric description of the compact convex sets with non empty interior in (R^2, q), where q is an asymmetric lattice norm.

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