Dispensable points, radial functions, and boundaries of starshaped sets
This paper deals with the structure of the boundary of a closed starshaped set in Euclidean space. Based on related results, we derive continuity properties of radial functions of starshaped sets and also new results on dispensable points of such sets. This yields new basic insights in the geometry...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-275-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/34857 |
| Tartalmi kivonat: | This paper deals with the structure of the boundary of a closed starshaped set in Euclidean space. Based on related results, we derive continuity properties of radial functions of starshaped sets and also new results on dispensable points of such sets. This yields new basic insights in the geometry of starshaped sets, since the notion of dispensable points of starshaped sets is a direct generalization of that of extreme points of convex sets. |
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| Terjedelem/Fizikai jellemzők: | 689-699 |
| ISSN: | 0001-6969 |