Characterization of striped surfaces

Sergiy Maksymenko; Eugene Polulyakh

doi:10.15673/tmgc.v10i2.651

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arXiv · 1710.05959

Characterization of striped surfaces

Sergiy Maksymenko·Eugene Polulyakh

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Abstract

Let $Z$ be a non-compact two-dimensional manifold and $\Delta$ be a one-dimensional foliation of $Z$ such that $\partial Z$ consists of leaves of $\Delta$ and each leaf of $\Delta$ is a non-compact closed subset of $Z$. We obtain a characterization of a subclass of such foliated surfaces $(Z,\Delta)$ glued from open strips $\mathbb{R}\times(0,1)$ with boundary leaves along some of their boundary intervals.

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Sergiy Maksymenko, Eugene Polulyakh. 2017-10-16. Characterization of striped surfaces. https://doi.org/10.15673/tmgc.v10i2.651

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