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.
|Number of pages||20|
|Journal||Kyushu Journal of Mathematics|
|Publication status||Published - 2006|
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