ELIMINATION OF DEFINITE FOLD
Keywords:
definite fold,
elimination of singularities,
open map,
excellent map,
fold,
cusp,
contact structure
2006 Volume 60 Issue 2 Pages 363-382
Details
2006 Volume 60 Issue 2 Pages 363-382
We show that every continuous map of a smooth closed manifold of dimension n › 2 into the 2-sphere S2 or into the real projective plane RP2 is homotopic to a smooth excellent map (or a C∞ stable map) without definite fold singular points. We also discuss the elimination of definite fold singular points for maps into other surfaces and into the circle S1.
