Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Volovikov, Alexey"'
Publikováno v:
In Journal of Combinatorial Theory, Series A April 2023 195
This paper is devoted to studying a topological version of the famous Hedetniemi conjecture which says: The $\mathbb Z/2$-index of the Cartesian product of two $\mathbb Z/2$-spaces is equal to the minimum of their $\mathbb Z/2$-indexes. We fully conf
Externí odkaz:
http://arxiv.org/abs/1806.04963
Autor:
Musin, Oleg R., Volovikov, Alexey Yu.
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.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/1612.07314
Autor:
Musin, Oleg R., Volovikov, Alexey Yu.
Publikováno v:
Mosc. Math. J., 15:4, (2015), 749-766
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 their properties. Our main technical tool is Yang's cohomological index.<
Externí odkaz:
http://arxiv.org/abs/1507.08872
In this paper we study the problems of the following kind: For a pair of topological spaces $X$ and $Y$ find sufficient conditions that under every continuous map $f : X\to Y$ a pair of sufficiently distant points is mapped to a single point.
Externí odkaz:
http://arxiv.org/abs/1209.1249
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Karasev, Roman, Volovikov, Alexey
Publikováno v:
In Topology and its Applications 15 August 2013 160(13):1592-1602
Autor:
Volovikov, Alexey Yu.
Publikováno v:
The American Mathematical Monthly, 2008 Jun 01. 115(6), 553-556.
Externí odkaz:
https://www.jstor.org/stable/27642536