Spindle Starshaped Sets
Metric Geometry
2014-02-03 v1
Abstract
In this paper, spindle starshaped sets are introduced and investigated, which apart from normalization form an everywhere dense subfamily within the family of starshaped sets. We focus on proving spindle starshaped analogues of recent theorems of Bobylev, Breen, Toranzos, and Zamfirescu on starshaped sets. Finally, we consider the problem of guarding treasures in an art gallery (in the traditional linear way as well as via spindles).
Cite
@article{arxiv.1401.8229,
title = {Spindle Starshaped Sets},
author = {Karoly Bezdek and Marton Naszodi},
journal= {arXiv preprint arXiv:1401.8229},
year = {2014}
}
Comments
16 pages, 2 figures