Geodesic
Dual theorems on central points and their generalizations
Sbornik. Mathematics, Tome 199 (2008) no. 10, pp. 1459-1479

Voir la notice de l'article provenant de la source Math-Net.Ru

Analogues of theorems on a central point, a central transversal and also of Tverberg's theorem are proved in the context when arrangements of hyperplanes or planes of fixed dimension are considered in place of point sets. Bibliography: 20 titles.
Keywords: center point theorem, Tverberg's theorem, Brower's fixed point theorem. 
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     author = {R. N. Karasev},
     title = {Dual theorems on central points and their generalizations},
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R. N. Karasev. Dual theorems on central points and their generalizations. Sbornik. Mathematics, Tome 199 (2008) no. 10, pp. 1459-1479. http://geodesic.mathdoc.fr/item/SM_2008_199_10_a2/