20 citations · 107 across the 18 of their papers we have counts for
18 papers
Reeb spaces of smooth functions on manifolds II
Osamu Saeki
The Reeb space of a continuous function is the space of connected components of the level sets. In this paper we characterize those smooth functions on closed manifolds whose Reeb…
Special generic maps and Gromoll filtration
Osamu Saeki
A smooth map of a closed -dimensional manifold into with is a special generic map if it has only definite folds as its singularities. We show th…
Round fold maps of n--dimensional manifolds into
Naoki Kitazawa, Osamu Saeki
We determine those smooth --dimensional closed manifolds with which admit round fold maps into , i.e.\ fold maps whose critical value sets consist…
Round fold maps on --manifolds
Naoki Kitazawa, Osamu Saeki
We show that a closed orientable 3--dimensional manifold admits a round fold map into the plane, i.e. a fold map whose critical value set consists of disjoint simple closed curves…
Reeb spaces of smooth functions on manifolds
Osamu Saeki
The Reeb space of a continuous function is the space of connected components of the level sets. In this paper we first prove that the Reeb space of a smooth function on a closed ma…
Linking between singular locus and regular fibers
Osamu Saeki
Given a null-cobordant oriented framed link in a closed oriented --manifold , we determine those links in which can be realized as the singular point set…