7 citations · 12 across the 5 of their papers we have counts for
5 papers
Hedetniemi's conjecture from the topological viewpoint
Hamid Reza Daneshpajouh, Roman Karasev, Alexey Yu. Volovikov
This paper is devoted to studying a topological version of the famous Hedetniemi conjecture which says: The -index of the Cartesian product of two -spaces…
Borsuk-Ulam type theorems for G-spaces with applications to Tucker type lemmas
Oleg R. Musin, Alexey Yu. Volovikov
In this paper we consider several generalizations of the Borsuk-Ulam theorem for G-spaces and apply these results to Tucker type lemmas for G-simplicial complexes and PL-manifolds.
Borsuk - Ulam Type spaces
Oleg R. Musin, Alexey Yu. Volovikov
We consider spaces with free involutions that satisfy the Borsuk - Ulam theorems (BUT-spaces). There are several equivalent definitions for BUT-spaces that can be considered as the…
Borsuk-Ulam type theorems for metric spaces
Arseniy Akopyan, Roman Karasev, Alexey Volovikov
In this paper we study the problems of the following kind: For a pair of topological spaces and find sufficient conditions that under every continuous map a pa…
Knaster's problem for almost -orbits
R. N. Karasev, A. Yu. Volovikov
In this paper some new cases of Knaster's problem on continuous maps from spheres are established. In particular, we consider an almost orbit of a -torus on the sphere, a co…