DC Field | Value | Language |
---|---|---|
dc.contributor.author | Holmsen, Andreas F. | ko |
dc.contributor.author | Karasev, Roman | ko |
dc.date.accessioned | 2017-05-15T05:16:51Z | - |
dc.date.available | 2017-05-15T05:16:51Z | - |
dc.date.created | 2017-05-08 | - |
dc.date.created | 2017-05-08 | - |
dc.date.issued | 2017-06 | - |
dc.identifier.citation | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.145, no.6, pp.2713 - 2726 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://hdl.handle.net/10203/223643 | - |
dc.description.abstract | We prove two colorful Caratheodory theorems for strongly convex hulls, generalizing the colorful Caratheodory theorem for ordinary convexity by Imre Barany, the non-colorful Caratheodory theorem for strongly convex hulls by the second author, and the "very colorful theorems" by the first author and others. We also investigate if the assumption of a "generating convex set" is really needed in such results and try to give a topological criterion for one convex body to be a Minkowski summand of another. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.subject | HELLY THEOREM | - |
dc.subject | NUMBERS | - |
dc.subject | HOMOLOGY | - |
dc.title | COLORFUL THEOREMS FOR STRONG CONVEXITY | - |
dc.type | Article | - |
dc.identifier.wosid | 000398833500035 | - |
dc.identifier.scopusid | 2-s2.0-85016171063 | - |
dc.type.rims | ART | - |
dc.citation.volume | 145 | - |
dc.citation.issue | 6 | - |
dc.citation.beginningpage | 2713 | - |
dc.citation.endingpage | 2726 | - |
dc.citation.publicationname | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/proc/13405 | - |
dc.contributor.localauthor | Holmsen, Andreas F. | - |
dc.contributor.nonIdAuthor | Karasev, Roman | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Caratheodory&apos | - |
dc.subject.keywordAuthor | s theorem | - |
dc.subject.keywordAuthor | Helly&apos | - |
dc.subject.keywordAuthor | s theorem | - |
dc.subject.keywordAuthor | strong convexity | - |
dc.subject.keywordPlus | HELLY THEOREM | - |
dc.subject.keywordPlus | NUMBERS | - |
dc.subject.keywordPlus | HOMOLOGY | - |
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