caa a22 4500 605508623 CHVBK 20210128100637.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00010-014-0271-9 doi (NATIONALLICENCE)springer-10.1007/s00010-014-0271-9 Spindle starshaped sets [Elektronische Daten] [Károly Bezdek, Márton Naszódi] 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). Springer Basel, 2014 (Spindle) starshaped set nationallicence (Spindle) kernel nationallicence (Spindle starshaped) flower-polyhedron nationallicence (Spindle) convex (hull) nationallicence Bezdek Károly Department of Mathematics and Statistics, University of Calgary, Calgary, Canada aut Naszódi Márton Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary aut Aequationes mathematicae Springer Basel 89/3(2015-06-01), 803-819 0001-9054 89:3<803 2015 89 10 https://doi.org/10.1007/s00010-014-0271-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-014-0271-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bezdek Károly Department of Mathematics and Statistics, University of Calgary, Calgary, Canada aut NATIONALLICENCE 700 1- Naszódi Márton Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/3(2015-06-01), 803-819 0001-9054 89:3<803 2015 89 10