10 citations · 18 across the 4 of their papers we have counts for
4 papers
Geometric coincidence results from multiplicity of continuous maps
R. N. Karasev
In this paper we study geometric coincidence problems in the spirit of the following problems by B. Grünbaum: How many affine diameters of a convex body in must have…
Equipartition of a measure by -invariant fans
R. N. Karasev
We prove a result about partitioning an absolute continuous measure in into 2d equal parts by a system of cones with common vertex, where is an odd prime power. T…
KKM-type theorems for products of simplices and cutting sets and measures by straight lines
R. N. Karasev
In this paper a version of Knaster-Kuratowski-Mazurkiewicz theorem for products of simplices is formulated. Some corollaries for measure partition in the plane and cutting families…
Inscribing a regular crosspolytope
R. N. Karasev
In this paper we prove that it is possible to inscribe a regular crosspolytope (multidimensional octahedron) into a smooth convex body in , where is an odd prime p…