On the number of singularities of a generic surface with boundary in a 3-manifold

J. J. Nuño-Ballesteros, Osamu Saeki

研究成果: Contribution to journalArticle

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We consider a C generic map f: M → N of a compact surface M with boundary into a 3-manifold N with boundary which is neat (i.e., f−1(∂ N) = ∂ M). The isolated singularities of the image f(M) are triple points, cross caps and boundary double points. Under certain homological conditions, we give some formulae relating the numbers of these singularities. We also obtain some geometrical applications of these results.

元の言語英語
ページ(範囲)517-544
ページ数28
ジャーナルHokkaido Mathematical Journal
27
発行部数3
DOI
出版物ステータス出版済み - 1 1 1998
外部発表Yes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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