On the topological conjugacy of two-dimensional homogeneous inner mappings

For a class of branched coverings of the two-dimensional sphere the criterion of the topological conjugacy is given and some properties are listed. The class is a generalization of a class of inner mappings having homogeneous polynomials as its coordinate functions.

Bibliographic Details
Main Author: Игорь Юрьевич Власенко
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2015-09-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.uran.ua/geometry/article/view/49278
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spelling doaj-05348b03c64e4769864a26f4794d010b2020-11-25T00:06:32ZrusOdessa National Academy of Food TechnologiesPracì Mìžnarodnogo Geometričnogo Centru 2072-98122015-09-018110.15673/2072-9812.1/2015.4927847267On the topological conjugacy of two-dimensional homogeneous inner mappingsИгорь Юрьевич Власенко0Институт математики НАНУFor a class of branched coverings of the two-dimensional sphere the criterion of the topological conjugacy is given and some properties are listed. The class is a generalization of a class of inner mappings having homogeneous polynomials as its coordinate functions.http://journals.uran.ua/geometry/article/view/49278Внутренние отображения, классы топологической сопряженности, однородные отображения, цилиндр
collection DOAJ
language Russian
format Article
sources DOAJ
author Игорь Юрьевич Власенко
spellingShingle Игорь Юрьевич Власенко
On the topological conjugacy of two-dimensional homogeneous inner mappings
Pracì Mìžnarodnogo Geometričnogo Centru
Внутренние отображения, классы топологической сопряженности, однородные отображения, цилиндр
author_facet Игорь Юрьевич Власенко
author_sort Игорь Юрьевич Власенко
title On the topological conjugacy of two-dimensional homogeneous inner mappings
title_short On the topological conjugacy of two-dimensional homogeneous inner mappings
title_full On the topological conjugacy of two-dimensional homogeneous inner mappings
title_fullStr On the topological conjugacy of two-dimensional homogeneous inner mappings
title_full_unstemmed On the topological conjugacy of two-dimensional homogeneous inner mappings
title_sort on the topological conjugacy of two-dimensional homogeneous inner mappings
publisher Odessa National Academy of Food Technologies
series Pracì Mìžnarodnogo Geometričnogo Centru
issn 2072-9812
publishDate 2015-09-01
description For a class of branched coverings of the two-dimensional sphere the criterion of the topological conjugacy is given and some properties are listed. The class is a generalization of a class of inner mappings having homogeneous polynomials as its coordinate functions.
topic Внутренние отображения, классы топологической сопряженности, однородные отображения, цилиндр
url http://journals.uran.ua/geometry/article/view/49278
work_keys_str_mv AT igorʹûrʹevičvlasenko onthetopologicalconjugacyoftwodimensionalhomogeneousinnermappings
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