Canceling branch points and cusps on projections of knotted surfaces in 4-space

Osamu Saeki, Yasushi Takeda

研究成果: ジャーナルへの寄稿記事

2 引用 (Scopus)

抄録

For a knotted surface in 4-space, its generic projection into 3-space has branch points as its singularities, and its successive projection into 2-space has fold points and cusps as its singularities. In this paper, we show that for non-orientable knotted surfaces, the numbers of branch points and cusps can be minimized by isotopy.

元の言語英語
ページ(範囲)3097-3101
ページ数5
ジャーナルProceedings of the American Mathematical Society
132
発行部数10
DOI
出版物ステータス出版済み - 10 1 2004

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Branch Point
Cusp
Projection
Singularity
Non-orientable Surface
Isotopy
Fold

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

これを引用

Canceling branch points and cusps on projections of knotted surfaces in 4-space. / Saeki, Osamu; Takeda, Yasushi.

:: Proceedings of the American Mathematical Society, 巻 132, 番号 10, 01.10.2004, p. 3097-3101.

研究成果: ジャーナルへの寄稿記事

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