Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Characterization of striped surfaces

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Сергей Иванович Максименко
http://orcid.org/0000-0002-0062-5188
Евгений Александрович Полулях

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.
Keywords:
Foliations, striped surface

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How to Cite
Максименко, С., & Полулях, Е. (2017). Characterization of striped surfaces. Proceedings of the International Geometry Center, 10(2). https://doi.org/10.15673/tmgc.v10i2.651
Section
Papers
Author Biographies

Сергей Иванович Максименко, Institute of Mathematics of NAS of Ukraine

Chair of Topology Laboratory of Algebra and Topology Department

Евгений Александрович Полулях, Institute of Mathematics of NAS of Ukraine

Senior researcher of Topology Laboratory of Algebra and Topology Department

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