Foliations with non-compact leaves on surfaces

Foliations with non-compact leaves on surfaces

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 c...

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Bibliographic Details
Main Authors: Sergiy Maksymenko, Eugene Polulyakh
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2020-02-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
harmonic function; foliation; homotopy type
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1603
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spelling doaj-d352aaa4988d4fe78bb1b8b814e1ea0f2020-11-25T01:45:14ZrusOdessa National Academy of Food TechnologiesPracì Mìžnarodnogo Geometričnogo Centru 2072-98122409-89062020-02-0183-4173010.15673/tmgc.v8i3-4.16031603Foliations with non-compact leaves on surfacesSergiy Maksymenko0Eugene Polulyakh1Institute of Mathematics of NAS of UkraineInstitute of Mathematics of NAS of UkraineThe 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.https://journals.onaft.edu.ua/index.php/geometry/article/view/1603harmonic function; foliation; homotopy type
collection DOAJ
language Russian
format Article
sources DOAJ
author Sergiy Maksymenko
Eugene Polulyakh
spellingShingle Sergiy Maksymenko
Eugene Polulyakh
Foliations with non-compact leaves on surfaces
Pracì Mìžnarodnogo Geometričnogo Centru
harmonic function; foliation; homotopy type
author_facet Sergiy Maksymenko
Eugene Polulyakh
author_sort Sergiy Maksymenko
title Foliations with non-compact leaves on surfaces
title_short Foliations with non-compact leaves on surfaces
title_full Foliations with non-compact leaves on surfaces
title_fullStr Foliations with non-compact leaves on surfaces
title_full_unstemmed Foliations with non-compact leaves on surfaces
title_sort foliations with non-compact leaves on surfaces
publisher Odessa National Academy of Food Technologies
series Pracì Mìžnarodnogo Geometričnogo Centru
issn 2072-9812
2409-8906
publishDate 2020-02-01
description 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.
topic harmonic function; foliation; homotopy type
url https://journals.onaft.edu.ua/index.php/geometry/article/view/1603
work_keys_str_mv AT sergiymaksymenko foliationswithnoncompactleavesonsurfaces
AT eugenepolulyakh foliationswithnoncompactleavesonsurfaces
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