FOLD DIMENSION SET OF MANIFOLDS
Given a closed connected n-manifold we define the fold dimension set of denoted by as the set consisting of all integers psuch that there exists a fold map where a fold map is a smooth map with only fold singularities as its singularities. The purpose of this paper is to determine for a closed n-manifold In this paper, we report on the complete determination of for the cases where and the partial answers for other dimensional cases, mainly for the case where Finally, we pose open problems for further study on the fold dimension set of manifolds.
fold maps, Thom polynomial, stable span, fold dimension of manifolds.