On certain classes of plane topological representations with the first generalized derivatives

We consider the class of planar topological maps with first generalized derivatives. A geometric method for the study of the properties of this class based on the use of regular systems of neighborhoods is given.

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Date:1992
Main Authors: Golberg , A. L., Гольберг , А. Л.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8043
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Golberg , A. L.
Гольберг , А. Л.
author_facet Golberg , A. L.
Гольберг , А. Л.
author_sort Golberg , A. L.
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datestamp_date 2023-12-28T09:25:14Z
description We consider the class of planar topological maps with first generalized derivatives. A geometric method for the study of the properties of this class based on the use of regular systems of neighborhoods is given.
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spelling umjimathkievua-article-80432023-12-28T09:25:14Z On certain classes of plane topological representations with the first generalized derivatives О некоторых классах плоских топологических отображений с первыми обобщенными производными Golberg , A. L. Гольберг , А. Л. We consider the class of planar topological maps with first generalized derivatives. A geometric method for the study of the properties of this class based on the use of regular systems of neighborhoods is given. Рассмотрен класс плоских топологических отображений с первыми обобщенными производными. Предложен геометрический метод исследования свойств данного класса, основанный на использовании регулярных систем окрестностей.   Розглянуто клас плоских топологічних відображень з першими узагальненими похідними. Запропоновано геометричний метод дослідження властивостей даного класу, який ґрунтується на використанні регулярних систем околів. Institute of Mathematics, NAS of Ukraine 1992-09-08 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8043 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 8 (1992); 1114-1116 Український математичний журнал; Том 44 № 8 (1992); 1114-1116 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8043/9605 Copyright (c) 1992 A. L. Golberg
spellingShingle Golberg , A. L.
Гольберг , А. Л.
On certain classes of plane topological representations with the first generalized derivatives
title On certain classes of plane topological representations with the first generalized derivatives
title_alt О некоторых классах плоских топологических отображений с первыми обобщенными производными
title_full On certain classes of plane topological representations with the first generalized derivatives
title_fullStr On certain classes of plane topological representations with the first generalized derivatives
title_full_unstemmed On certain classes of plane topological representations with the first generalized derivatives
title_short On certain classes of plane topological representations with the first generalized derivatives
title_sort on certain classes of plane topological representations with the first generalized derivatives
url https://umj.imath.kiev.ua/index.php/umj/article/view/8043
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