A. Volovikov

activity

20092018

most citedBorsuk-Ulam type theorems for metric spaces

7 citations · 12 across the 5 of their papers we have counts for

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math.AT2016

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.

math.AT2015★ 1 cited

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…

math.AT2009★ 4 cited

Knaster's problem for almost $(Z_{p})^{k}$ -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 $p$ -torus $X$ on the sphere, a co…

Borsuk-Ulam type theorems for G-spaces with applications to Tucker type lemmas

Borsuk - Ulam Type spaces

Knaster's problem for almost (Zp​)k-orbits

Knaster's problem for almost $(Z_{p})^{k}$ -orbits