5 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…
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…
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…
Differentiable maps on links of complex isolated hypersurface singularities
Osamu Saeki, Shuntaro Sakurai
We consider links of complex isolated hypersurface singularities in and study differentiable maps defined by restricting holomorphic functions to the links. We g…
Reeb Complements for Exploring Inclusions Between Isosurfaces From Two Scalar Fields
Akito Fujii, Osamu Saeki, Daisuke Sakurai
This article proposes to integrate two Reeb graphs with the information of their isosurfaces' inclusion relation. As computing power evolves, there arise numerical data that have s…