Lang, U; Schroeder, Viktor (1997). Jung's theorem for Alexandrov spaces of curvature bounded above. Annals of Global Analysis and Geometry, 15(3):263-275.
The classical Jung theorem gives an optimal upper estimate for the radius of a bounded subset of R n in terms of its diameter and the dimension. In this note we present an analogue of this result for metric spaces of curvature bounded above in the sense of Alexandrov.
The classical Jung theorem gives an optimal upper estimate for the radius of a bounded subset of R n in terms of its diameter and the dimension. In this note we present an analogue of this result for metric spaces of curvature bounded above in the sense of Alexandrov.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Social Sciences & Humanities > Political Science and International Relations Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Alexandrov spaces - Jung''s theorem |
| Language: | English |
| Date: | 1997 |
| Deposited On: | 29 Nov 2010 16:28 |
| Last Modified: | 29 Jul 2020 19:48 |
| Publisher: | Springer |
| ISSN: | 0232-704X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1023/A:1006574402955 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1456512 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0974.53028 |
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Lang, U