DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheong, Otfried | ko |
dc.contributor.author | Goaoc, Xavier | ko |
dc.contributor.author | Holmsen, Andreas F. | ko |
dc.date.accessioned | 2024-06-24T09:00:06Z | - |
dc.date.available | 2024-06-24T09:00:06Z | - |
dc.date.created | 2023-12-27 | - |
dc.date.issued | 2023-12 | - |
dc.identifier.citation | DISCRETE & COMPUTATIONAL GEOMETRY, v.70, no.4 | - |
dc.identifier.issn | 0179-5376 | - |
dc.identifier.uri | http://hdl.handle.net/10203/319997 | - |
dc.description.abstract | We investigate a number of questions, problems, and conjectures related to geometric transversal theory. Among our results we disprove a conjecture of Barany and Kalai regarding weak epsilon-nets for k-flats and convex sets in R-d, and we prove a conjecture of Arocha, Bracho, and Montejano regarding a colorful version of the Goodman-Pollack-Wenger transversal theorem. We also investigate the connected components of the space of line transversals to pairwise disjoint convex sets in R-3, and we extend a theorem of Karasev and Montejano regarding colorful intersections and k-transversals. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Some New Results on Geometric Transversals | - |
dc.type | Article | - |
dc.identifier.wosid | 001104062900002 | - |
dc.identifier.scopusid | 2-s2.0-85176747831 | - |
dc.type.rims | ART | - |
dc.citation.volume | 70 | - |
dc.citation.issue | 4 | - |
dc.citation.publicationname | DISCRETE & COMPUTATIONAL GEOMETRY | - |
dc.identifier.doi | 10.1007/s00454-023-00573-2 | - |
dc.contributor.localauthor | Holmsen, Andreas F. | - |
dc.contributor.nonIdAuthor | Cheong, Otfried | - |
dc.contributor.nonIdAuthor | Goaoc, Xavier | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Space of transversals | - |
dc.subject.keywordAuthor | Application of the Borsuk-Ulam theorem | - |
dc.subject.keywordAuthor | Geometric transversal theory | - |
dc.subject.keywordAuthor | Helly-type theorems | - |
dc.subject.keywordPlus | HELLY-TYPE THEOREMS | - |
dc.subject.keywordPlus | LINE TRANSVERSALS | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordPlus | CONVEXITY | - |
dc.subject.keywordPlus | GRUNBAUM | - |
dc.subject.keywordPlus | NUMBERS | - |
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