Matches in SemOpenAlex for { <https://semopenalex.org/work/W2109256783> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2109256783 endingPage "265" @default.
- W2109256783 startingPage "245" @default.
- W2109256783 abstract "The colored Tverberg theorem asserts that for every d and r there exists t=t(d,r) such that for every set C⊂ℝ d of cardinality (d+1)t, partitioned into t-point subsets C 1,C 2,…,C d+1 (which we think of as color classes; e.g., the points of C 1 are red, the points of C 2 blue, etc.), there exist r disjoint sets R 1,R 2,…,R r ⊆C that are rainbow, meaning that |R i ∩C j |≤1 for every i,j, and whose convex hulls all have a common point. All known proofs of this theorem are topological. We present a geometric version of a recent beautiful proof by Blagojević, Matschke, and Ziegler, avoiding a direct use of topological methods. The purpose of this de-topologization is to make the proof more concrete and intuitive, and accessible to a wider audience." @default.
- W2109256783 created "2016-06-24" @default.
- W2109256783 creator A5056297132 @default.
- W2109256783 creator A5070164050 @default.
- W2109256783 creator A5089164987 @default.
- W2109256783 date "2011-07-12" @default.
- W2109256783 modified "2023-10-03" @default.
- W2109256783 title "A Geometric Proof of the Colored Tverberg Theorem" @default.
- W2109256783 cites W1966931715 @default.
- W2109256783 cites W1977098616 @default.
- W2109256783 cites W1984893101 @default.
- W2109256783 cites W1996168654 @default.
- W2109256783 cites W2004331157 @default.
- W2109256783 cites W2046487802 @default.
- W2109256783 cites W2051334793 @default.
- W2109256783 cites W2067755836 @default.
- W2109256783 cites W2075508548 @default.
- W2109256783 cites W2110134123 @default.
- W2109256783 cites W2110431763 @default.
- W2109256783 cites W2120948000 @default.
- W2109256783 cites W2167816765 @default.
- W2109256783 cites W2953006237 @default.
- W2109256783 cites W2964266200 @default.
- W2109256783 cites W31020623 @default.
- W2109256783 cites W4210631977 @default.
- W2109256783 doi "https://doi.org/10.1007/s00454-011-9368-2" @default.
- W2109256783 hasPublicationYear "2011" @default.
- W2109256783 type Work @default.
- W2109256783 sameAs 2109256783 @default.
- W2109256783 citedByCount "9" @default.
- W2109256783 countsByYear W21092567832012 @default.
- W2109256783 countsByYear W21092567832013 @default.
- W2109256783 countsByYear W21092567832014 @default.
- W2109256783 countsByYear W21092567832018 @default.
- W2109256783 countsByYear W21092567832020 @default.
- W2109256783 countsByYear W21092567832022 @default.
- W2109256783 crossrefType "journal-article" @default.
- W2109256783 hasAuthorship W2109256783A5056297132 @default.
- W2109256783 hasAuthorship W2109256783A5070164050 @default.
- W2109256783 hasAuthorship W2109256783A5089164987 @default.
- W2109256783 hasBestOaLocation W21092567831 @default.
- W2109256783 hasConcept C108710211 @default.
- W2109256783 hasConcept C112680207 @default.
- W2109256783 hasConcept C114614502 @default.
- W2109256783 hasConcept C118615104 @default.
- W2109256783 hasConcept C124101348 @default.
- W2109256783 hasConcept C159985019 @default.
- W2109256783 hasConcept C192562407 @default.
- W2109256783 hasConcept C2524010 @default.
- W2109256783 hasConcept C2778307483 @default.
- W2109256783 hasConcept C33923547 @default.
- W2109256783 hasConcept C41008148 @default.
- W2109256783 hasConcept C45340560 @default.
- W2109256783 hasConcept C87117476 @default.
- W2109256783 hasConceptScore W2109256783C108710211 @default.
- W2109256783 hasConceptScore W2109256783C112680207 @default.
- W2109256783 hasConceptScore W2109256783C114614502 @default.
- W2109256783 hasConceptScore W2109256783C118615104 @default.
- W2109256783 hasConceptScore W2109256783C124101348 @default.
- W2109256783 hasConceptScore W2109256783C159985019 @default.
- W2109256783 hasConceptScore W2109256783C192562407 @default.
- W2109256783 hasConceptScore W2109256783C2524010 @default.
- W2109256783 hasConceptScore W2109256783C2778307483 @default.
- W2109256783 hasConceptScore W2109256783C33923547 @default.
- W2109256783 hasConceptScore W2109256783C41008148 @default.
- W2109256783 hasConceptScore W2109256783C45340560 @default.
- W2109256783 hasConceptScore W2109256783C87117476 @default.
- W2109256783 hasIssue "2" @default.
- W2109256783 hasLocation W21092567831 @default.
- W2109256783 hasLocation W21092567832 @default.
- W2109256783 hasLocation W21092567833 @default.
- W2109256783 hasLocation W21092567834 @default.
- W2109256783 hasOpenAccess W2109256783 @default.
- W2109256783 hasPrimaryLocation W21092567831 @default.
- W2109256783 hasRelatedWork W1547843988 @default.
- W2109256783 hasRelatedWork W1989984537 @default.
- W2109256783 hasRelatedWork W1995723550 @default.
- W2109256783 hasRelatedWork W2046487802 @default.
- W2109256783 hasRelatedWork W2088079047 @default.
- W2109256783 hasRelatedWork W2157671279 @default.
- W2109256783 hasRelatedWork W2162224965 @default.
- W2109256783 hasRelatedWork W2313490880 @default.
- W2109256783 hasRelatedWork W3183200910 @default.
- W2109256783 hasRelatedWork W4313644288 @default.
- W2109256783 hasVolume "47" @default.
- W2109256783 isParatext "false" @default.
- W2109256783 isRetracted "false" @default.
- W2109256783 magId "2109256783" @default.
- W2109256783 workType "article" @default.