10 citations · 44 across the 9 of their papers we have counts for
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math.CO2010★ 5 cited
Tverberg-type theorems for intersecting by rays
R. N. Karasev
In this paper we consider some results on intersection between rays and a given family of convex, compact sets. These results are similar to the center point theorem, and Tverberg'…
math.CO2010★ 10 cited
Topological transversals to a family of convex sets
L. Montejano, R. N. Karasev
Let be a family of compact convex sets in . We say that has a \emph{topological -transversal of index } (, ) if…
math.CO2010★ 6 cited
Partitions of nonzero elements of a finite field into pairs
R. N. Karasev, F. V. Petrov
In this paper we prove that the nonzero elements of a finite field with odd characteristic can be partitioned into pairs with prescribed difference (maybe, with some alternatives)…