External analysis of boundary points of convex sets: illumination and visibility

José Pedro Moreno; Alberto Seeger

doi:10.7146/math.scand.a-15118

External analysis of boundary points of convex sets: illumination and visibility

Authors

José Pedro Moreno
Alberto Seeger

DOI:

https://doi.org/10.7146/math.scand.a-15118

Abstract

The purpose of this work is studying the geometry of the boundary

$\partial K$ of a solid closed convex set

$K$ in a normed space. In a recent paper of ours, such a study has been carried out with the help of supporting cones and drops. Now, illuminated sets and visible sets are the main tools of analysis.

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Published

2009-12-01

How to Cite

Moreno, J. P., & Seeger, A. (2009). External analysis of boundary points of convex sets: illumination and visibility. MATHEMATICA SCANDINAVICA, 105(2), 265–286. https://doi.org/10.7146/math.scand.a-15118