抜粋
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 |
| 巻 | 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)
フィンガープリント On the number of singularities of a generic surface with boundary in a 3-manifold' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Nuño-Ballesteros, J. J., & Saeki, O. (1998). On the number of singularities of a generic surface with boundary in a 3-manifold. Hokkaido Mathematical Journal, 27(3), 517-544. https://doi.org/10.14492/hokmj/1351001460