On compactness and metrizability of nuclear spaces of manifolds

We prove a theorem on the sequential compactness of the so-called nuclear space of an arbitrary topological manifold.

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Bibliographic Details
Date:1998
Main Authors: Ryazanov, V. I., Рязанов, В. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4894
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Ryazanov, V. I.
Рязанов, В. И.
Рязанов, В. И.
author_facet Ryazanov, V. I.
Рязанов, В. И.
Рязанов, В. И.
author_sort Ryazanov, V. I.
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datestamp_date 2020-03-18T21:16:32Z
description We prove a theorem on the sequential compactness of the so-called nuclear space of an arbitrary topological manifold.
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spelling umjimathkievua-article-48942020-03-18T21:16:32Z On compactness and metrizability of nuclear spaces of manifolds О компактности и метризуемости ядерных пространств многообразий Ryazanov, V. I. Рязанов, В. И. Рязанов, В. И. We prove a theorem on the sequential compactness of the so-called nuclear space of an arbitrary topological manifold. Доведено теорему про секвенціальну компактність так званого ядерного простору довільної топологічної многостатності. Institute of Mathematics, NAS of Ukraine 1998-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4894 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 6 (1998); 830–837 Український математичний журнал; Том 50 № 6 (1998); 830–837 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4894/6487 https://umj.imath.kiev.ua/index.php/umj/article/view/4894/6488 Copyright (c) 1998 Ryazanov V. I.
spellingShingle Ryazanov, V. I.
Рязанов, В. И.
Рязанов, В. И.
On compactness and metrizability of nuclear spaces of manifolds
title On compactness and metrizability of nuclear spaces of manifolds
title_alt О компактности и метризуемости ядерных пространств многообразий
title_full On compactness and metrizability of nuclear spaces of manifolds
title_fullStr On compactness and metrizability of nuclear spaces of manifolds
title_full_unstemmed On compactness and metrizability of nuclear spaces of manifolds
title_short On compactness and metrizability of nuclear spaces of manifolds
title_sort on compactness and metrizability of nuclear spaces of manifolds
url https://umj.imath.kiev.ua/index.php/umj/article/view/4894
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