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arXiv · 1403.6986

Compact convex sets in 2-dimensional asymmetric normed lattices

Natalia Jonard-Pérez·Enrique A. Sánchez-Pérez
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Abstract

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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Natalia Jonard-Pérez, Enrique A. Sánchez-Pérez. 2014-03-27. Compact convex sets in 2-dimensional asymmetric normed lattices. https://arxiv.org/abs/1403.6986

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