8 citations · 41 across the 24 of their papers we have counts for
30 papers
On the number of components of folds of image simple fold maps
O. Saeki, R. Sadykov
A smooth map between manifolds is said to be \emph{image simple} if its restriction to its singular point set is a topological embedding. We study the parity of the number of conne…
On the Mather stability theorem for smooth maps
Rustam Sadykov
In [MaII] Mather proved that a smooth proper infinitesimally stable map is stable. This result is the key component of the Mather stability theorem [MaV], which can be reformulated…
Manturov Projection for Virtual Legendrian Knots in
Vladimir Chernov, Rustam Sadykov
Kauffman virtual knots are knots in thickened surfaces considered up to isotopy, stabilizations and destabilizations, and diffeomorphisms of induced by orie…
Meander diagrams of virtual knots
Y. Belousov, V. Chernov, A. Malyutin +1
For classical knots, there is a concept of (semi)meander diagrams; in this short note we generalize this concept to virtual knots and prove that the classes of meander and semimean…
Conjectures about virtual Legendrian knots and links
Vladimir Chernov, Rustam Sadykov
We formulate conjectures generalizing some known results to the category of virtual Legendrian knots. This includes statements relating virtual Legendrian knots to ordinary Legendr…
The minimal number of critical points of a smooth function on a closed manifold and the ball category
Rustam Sadykov, Stanislav Trunov
Introduced by Seifert and Threlfall, cylindrical neighborhoods of isolated critical points of smooth functions is an essential tool in the Lusternik- Schnirelmann theory. We conjec…