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Spindle Starshaped Sets

Bezdek, Károly and Naszódi, Márton (2014) Spindle Starshaped Sets. AEQUATIONES MATHEMATICAE. ISSN 0001-9054

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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).

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr. Márton Naszódi
Date Deposited: 24 Sep 2014 10:18
Last Modified: 01 Sep 2015 23:15
URI: http://real.mtak.hu/id/eprint/16391

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