Surfaces in products of two curves

A. Koyama*, J. Krasinkiewicz, S. Spież

*この研究の対応する著者

研究成果: Article査読

抄録

We present a detailed discussion of the problem of embeddability of connected closed surfaces into products of two curves. In particular, we comment on two important results by R. Cauty and W. Kuperberg in this direction and strengthen them. It is proved that a closed connected surface M lying in a product of two curves is a retract of the product if and only if M is a torus. It is also observed the fact that every compact connected bordered surface embeds in the “three-page-book”.

本文言語English
ページ(範囲)618-640
ページ数23
ジャーナルTopology and its Applications
196
DOI
出版ステータスPublished - 2015 12月

ASJC Scopus subject areas

  • 幾何学とトポロジー

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