Geodesic
In Pursuit of Colored Carathéodory-bárány Theorems
Publications de l'Institut Mathématique, _N_S_57 (1995) no. 71, p. 91 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

One of the shortest and the most elegant proofs of the well known Tverberg theorem, due to Karanbir Sarkaria, relies on a generalization of Carathéodory's theorem found by Imre Bárány. Our objective is to set up the stage for studying other Carathéodory--Bárány type results which should open a possibility for similar proofs of related Tverberg type statements. Among the Tverberg type results which motivate this study are colored Tverberg theorems, [2], [6], [15], [20] and more recent results related to the Tverberg--Vrećica conjecture, [17], [18].
Classification : 52A20 52A35 55N91
Keywords: Combinatorial geometry, Carathéodory theorem, Tverberg theorem 
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     author = {Rade \v{Z}ivaljevi\'c},
     title = {In {Pursuit} of {Colored} {Carath\'eodory-b\'ar\'any} {Theorems}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {91 },
     publisher = {mathdoc},
     volume = {_N_S_57},
     number = {71},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1995_N_S_57_71_a9/}
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Rade Živaljević. In Pursuit of Colored Carathéodory-bárány Theorems. Publications de l'Institut Mathématique, _N_S_57 (1995) no. 71, p. 91 . http://geodesic.mathdoc.fr/item/PIM_1995_N_S_57_71_a9/