Compact convex sets in 2-dimensional asymmetric normed lattices
General Topology
2014-09-10 v2 Functional Analysis
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.
Cite
@article{arxiv.1403.6986,
title = {Compact convex sets in 2-dimensional asymmetric normed lattices},
author = {Natalia Jonard-Pérez and Enrique A. Sánchez-Pérez},
journal= {arXiv preprint arXiv:1403.6986},
year = {2014}
}