Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Foliations with non-compact leaves on surfaces

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Sergiy Maksymenko
http://orcid.org/0000-0002-0062-5188
Eugene Polulyakh

Abstract

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.

Keywords:
harmonic function; foliation; homotopy type

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How to Cite
Maksymenko, S., & Polulyakh, E. (2020). Foliations with non-compact leaves on surfaces. Proceedings of the International Geometry Center, 8(3-4), 17-30. https://doi.org/10.15673/tmgc.v8i3-4.1603
Section
Papers
Author Biographies

Sergiy Maksymenko, Institute of Mathematics of NAS of Ukraine

Head of Topology department. Doctor of Science in Physics and Mathematics

Eugene Polulyakh, Institute of Mathematics of NAS of Ukraine

Senior researcher of Topology department. Philosophy Doctor in Physics and Mathematics

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