Studying the Topology of Morin Singularities from a Global Viewpoint

研究成果: ジャーナルへの寄稿記事

13 引用 (Scopus)

抄録

Let f : M→N be a smooth map of a closed n-manifold into a p-manifold (n ≥p) having only Morin singularities [17]. We study the topology of such a map and obtain a modulo 2 congruence formula involving the Euler characteristics of M, N, the singular sets and the regular fibres of f. We also consider applications of this formula to the existence problem of maps having only fold singular points. Stable maps into 3-manifolds are also studied and we obtain a modulo 2 congruence formula involving the swallow tails and the number of triple points of the discriminant set.

元の言語英語
ページ(範囲)223-235
ページ数13
ジャーナルMathematical Proceedings of the Cambridge Philosophical Society
117
発行部数2
DOI
出版物ステータス出版済み - 1 1 1995
外部発表Yes

Fingerprint

Singularity
Topology
Congruence
Modulo
Stable Map
Triple Point
Singular Set
Euler Characteristic
Singular Point
Discriminant
Tail
Fold
Fiber
Closed

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Studying the Topology of Morin Singularities from a Global Viewpoint. / Saeki, Osamu.

:: Mathematical Proceedings of the Cambridge Philosophical Society, 巻 117, 番号 2, 01.01.1995, p. 223-235.

研究成果: ジャーナルへの寄稿記事

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