ELIMINATION OF DEFINITE FOLD

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概要

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• We show that every continuous map of a smooth closed manifold of dimension $ n > 2 $ into the 2-sphere $ S^2 $ or into the real projective plane $ \mathbb{R} P^2 $ is homotopic to a smooth excellent map (or a $ C^\infty $ 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 $ S^1 $.

著者

• Saeki Osamu

  Faculty Of Mathematics Kyushu University

関連論文

• ELIMINATION OF DEFINITE FOLD
• Generic smooth maps with sphere fibers : Dedicated to Professor Yukio Matsumoto on the occasion of his 60th birthday
• Morse functions with sphere fibers
• A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH
• Cobordism group of Morse functions on surfaces : Dedicated to Professor Tatsuo Suwa on his sixtieth birthday
• Height functions on surfaces with three critical values

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