### 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 |

巻 | 132 |

発行部数 | 10 |

DOI | |

出版物ステータス | 出版済み - 10 1 2004 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### これを引用

*Proceedings of the American Mathematical Society*,

*132*(10), 3097-3101. https://doi.org/10.1090/S0002-9939-04-07487-8

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

研究成果: ジャーナルへの寄稿 › 記事

*Proceedings of the American Mathematical Society*, 巻. 132, 番号 10, pp. 3097-3101. https://doi.org/10.1090/S0002-9939-04-07487-8

}

TY - JOUR

T1 - Canceling branch points and cusps on projections of knotted surfaces in 4-space

AU - Saeki, Osamu

AU - Takeda, Yasushi

PY - 2004/10/1

Y1 - 2004/10/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=5644277724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5644277724&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-04-07487-8

DO - 10.1090/S0002-9939-04-07487-8

M3 - Article

AN - SCOPUS:5644277724

VL - 132

SP - 3097

EP - 3101

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 10

ER -