Characterization of striped surfaces

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.

12 pages, 4 figures. Replaced a misprint: notation for singular leaves "Sign" is changed to "Sing"

References in corpus (1)

• Homeotopy groups of one-dimensional foliations on surfaces