3 papers
math.GT2025
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…
math.GT2025
Cobordism of algebraic knots defined by Brieskorn polynomials, II
Vincent Blanloeil, Osamu Saeki
In our previous paper, we obtained several results concerning cobordisms of algebraic knots associated with Brieskorn polynomials: for example, under certain conditions, we showed…
math.GT2025
Simplifying generic smooth maps to the 2-sphere and to the plane
Osamu Saeki
We study how to construct explicit deformations of generic smooth maps from closed --dimensional manifolds with to the --sphere and show that every smoot…