Published January 2010
| public
Journal Article
Variation on a theorem by Carathéodory
- Creators
-
Schulman, Leonard J.
Abstract
Carathéodory's theorem on small witnesses for convex hulls of sets is shown to have a natural analogue for finitely supported measures. Contrast is drawn with the much larger witnesses required for multisets, as shown by Bárány and Perles.
Additional Information
© 2010 University College London. Received May 26 2009. Thanks to Professors Gil Kalai and Imre Barany for helpful communications. The author was supported in part by NSF Award CCF-0829909.Additional details
- Eprint ID
- 18827
- DOI
- 10.1112/S0025579309000515
- Resolver ID
- CaltechAUTHORS:20100628-100808011
- CCF-0829909
- NSF
- Created
-
2010-06-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field