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

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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/