Foliations with non-compact leaves on surfaces

Sergiy Maksymenko; Eugene Polulyakh

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arXiv · 1512.07809

Foliations with non-compact leaves on surfaces

Sergiy Maksymenko·Eugene Polulyakh

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Abstract

We study non-compact surfaces obtained by gluing strips $\mathbb{R}\times(-1,1)$ with at most countably many boundary intervals along some 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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Sergiy Maksymenko, Eugene Polulyakh. 2015-12-24. Foliations with non-compact leaves on surfaces. https://arxiv.org/abs/1512.07809

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