Geodesic
Optimal bounds for the colored Tverberg problem
Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 739-754

Voir la notice de l'article provenant de la source EMS Press

We prove a “Tverberg type” multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of Bárány et al. (1980), by adding color constraints. It also provides an improved bound for the (topological) colored Tverberg problem of B ́ar ́any Larman (1992) that is tight in the prime case and asymptotically optimal in the general case. The proof is based on relative equivariant obstruction theory.
DOI : 10.4171/jems/516
Classification : 52-XX, 55-XX
Keywords: Optimal colored Tverberg theorem, Bárány–Larman conjecture, equivariant obstruction theory, chessboard complexes 
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     title = {Optimal bounds for the colored {Tverberg} problem},
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Pavle V.M. Blagojević; Benjamin Matschke; Günter M. Ziegler. Optimal bounds for the colored Tverberg problem. Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 739-754. doi: 10.4171/jems/516

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