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This article is cited in 12 scientific papers (total in 12 papers)
Dual theorems on central points and their generalizations
R. N. Karasev Moscow Institute of Physics and Technology
Abstract:
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.
Received: 15.10.2007 and 04.03.2008
Citation:
R. N. Karasev, “Dual theorems on central points and their generalizations”, Sb. Math., 199:10 (2008), 1459–1479
Linking options:
https://www.mathnet.ru/eng/sm3956https://doi.org/10.1070/SM2008v199n10ABEH003968 https://www.mathnet.ru/eng/sm/v199/i10/p41
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Abstract page: | 634 | Russian version PDF: | 229 | English version PDF: | 15 | References: | 77 | First page: | 7 |
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