Completions of paratopological groups and bounded sets
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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http://doi.org/10.1007/s00605-016-0953-6 |
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Title
Completions of paratopological groups and bounded setsDate
2017Publisher
Springer VerlagISSN
0026-9255; 1436-5081Bibliographic citation
Sanchis, M. & Tkachenko, M. Monatsh Math (2017) 183: 699. https://doi.org/10.1007/s00605-016-0953-6Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00605-016-0953-6#citeasVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
In this paper we consider two questions in the realm of paratopological
groups: When does multiplication on a given Tychonoff paratopological group H
admit an extension to continuous multiplication on the Dieudonné ... [+]
In this paper we consider two questions in the realm of paratopological
groups: When does multiplication on a given Tychonoff paratopological group H
admit an extension to continuous multiplication on the Dieudonné completion, μH, of
H in such a way that H turns into a dense subgroup of the paratopological group μH?
and, if A and B are bounded subsets of paratopological groups G and H, respectively,
is A × B bounded in G × H? The motivation for these questions comes from the
field of topological groups and they are receiving a special attention as an interesting
source of open problems. [-]
Is part of
Monatsh Math (2017) 183:699–721Investigation project
P1-1B2014-35 ; AICO/2016/030Rights
© Springer-Verlag Wien 2016.
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