Elimination of definite fold

Osamu Saeki

doi:10.2206/kyushujm.60.363

Elimination of definite fold

Osamu Saeki

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	363-382
Number of pages	20
Journal	Kyushu Journal of Mathematics
Volume	60
Issue number	2
DOIs	https://doi.org/10.2206/kyushujm.60.363
Publication status	Published - 2006

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.2206/kyushujm.60.363

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abstract = "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.",

author = "Osamu Saeki",

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language = "English",

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AB - 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.

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EP - 382

JO - Kyushu Journal of Mathematics

JF - Kyushu Journal of Mathematics

IS - 2

ER -

Elimination of definite fold

Abstract

All Science Journal Classification (ASJC) codes

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