在表面上具不紧密的叶的叶

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2015-12-24 DOI:10.15673/tmgc.v8i3-4.1603

S. Maksymenko, E. Polulyakh

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引用次数: 4

摘要

本文研究了用胶合条rx(−1,1)得到的非紧曲面，在其中的一些区间上有至多可数个边界区间。每一个这样的条带都有平行线的叶理，这就在得到的表面上形成了一个叶理。证明了该叶的同胚群的恒等路径分量是可缩的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Foliations with non-compact leaves on surfaces

The paper studies non-compact surfaces obtained by gluing strips R × (−1, 1) with at most countably many boundary intervals along some of these intervals. Every such strip possesses a foliation by parallel lines, which gives a foliation on the resulting surface. It is proved that the identity path component of the group of homeomorphisms of that foliation is contractible.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks