Generic smooth maps with sphere fibers

Osamu Saeki, Keiichi Suzuoka

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

In this paper, we study various topological properties of generic smooth maps between manifolds whose regular fibers are disjoint unions of homotopy spheres. In particular, we show that if a closed 4-manifold admits such a generic map into a surface, then it bounds a 5-manifold with nice properties. As a corollary, we show that each regular fiber of such a generic map of the 4-sphere into the plane is a homotopy ribbon 2-link and that any spun 2-knot of a classical knot can be realized as a component of a regular fiber of such a map.

本文言語英語
ページ(範囲)881-902
ページ数22
ジャーナルJournal of the Mathematical Society of Japan
57
3
DOI
出版ステータス出版済み - 1 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

フィンガープリント 「Generic smooth maps with sphere fibers」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

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