4 papers
On submersions with definite folds of manifolds with boundary into Euclidean spaces
Koki Iwakura
Submersions with definite folds are submersions on manifolds with boundary whose restrictions to the boundary are definite fold maps. In this paper, we study differential-topologic…
Topology of boundary special generic maps into Euclidean spaces
Koki Iwakura
We introduce boundary special generic maps, a class of submersions from manifolds with boundary to Euclidean spaces whose restriction to the boundary has only boundary definite fol…
Non-singular extensions of horizontal stable fold maps from surfaces to the plane
Koki Iwakura
In this paper, we study the non-singular extension problem of horizontal stable fold maps. This problem asks what conditions ensure the existence of a submersion whose restriction…
Non-singular extensions of circle-valued Morse functions
Koki Iwakura
In this paper, we consider the non-singular extension problem for circle-valued Morse functions on closed orientable surfaces. The problem asks, given a circle-valued Morse functio…