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

Issue

Vol. 105 No. 2 (2009)

Section

Articles

How to Cite

[1]
J. P. Moreno and A. Seeger, “External analysis of boundary points of convex sets: illumination and visibility”, Math. Scand., vol. 105, no. 2, pp. 265–286, Dec. 2009, doi: 10.7146/math.scand.a-15118.