Regular homotopy classes of singular maps

Details Regular homotopy classes of singular maps Regular homotopy classes of singular maps

2005-06-28

arxiv.org/abs/math/0506566v1

Proc. London Math. Soc. (3) 90 (2005) 738-762

Mathematics

Geometric Topology

23 pages, 3 figures

Scientific paper

10.1112/S0024611504015102

Two locally generic maps f,g : M^n --> R^{2n-1} are regularly homotopic if they lie in the same path-component of the space of locally generic maps. Our main result is that if n is not 3 and M^n is a closed n-manifold then the regular homotopy class of every locally generic map f : M^n --> R^{2n-1} is completely determined by the number of its singular points provided that f is singular (i.e., f is not an immersion).

Affiliated with

Also associated with

No associations

Rating

Regular homotopy classes of singular maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regular homotopy classes of singular maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regular homotopy classes of singular maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434529