Article ID Journal Published Year Pages File Type
4660382 Topology and its Applications 2010 8 Pages PDF
Abstract

In this paper we study the relation between the topology of the set R(f) of regular points and the topology of its image f(R(f)), for some special maps acting between two manifolds M and N. The results are oriented towards negative examples for the inverse problem of deciding whether a given closed subset of the source manifold is a critical set.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology