A remark on the separation by immersions in codimension 1

Carlos Biasi, Walter Motta, Osamu Saeki

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

Let f : Mn-1 → Nn be an immersion with normal crossings from a compact connected (n - 1)-manifold M into a connected, open or compact n-manifold N, where M and N can have boundaries. In this paper, we give a necessary and sufficient condition for f to be an embedding using the number of connected components of N - f(M). We also obtain an estimate from the above for the number of connected components of N - f(M) for f with only double points as its self-intersection points.

本文言語英語
ページ(範囲)179-186
ページ数8
ジャーナルTopology and its Applications
61
2
DOI
出版ステータス出版済み - 2 10 1995
外部発表はい

All Science Journal Classification (ASJC) codes

  • 幾何学とトポロジー

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