Factor-Group of a Topological Group and Factor-Ring of a Topological Ring and Completeness Issues [Articol]
Date
2024
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Abstract
The connection between the completeness of topological groups and topological rings and the completeness of their factor groups and factor rings, respectively, are discussed in this article.
Description
Keywords
separable topological group, bounded set in atopological ring, locally bounded topological ring, cauchy sequence over a directed set, limit of a sequence over a directed set, complete topological group
Citation
ARNAUTOV, V. I. and G. N. ERMACOVA. Factor-Group of a Topological Group and Factor-Ring of a Topological Ring and Completeness Issues. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 34-37. ISBN 978-9975-68-515-3