On unitary extensions and unitary completions of topological monoids
The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-10-01
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| Series: | Topological Algebra and its Applications |
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| Online Access: | http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0003/taa-2016-0003.xml?format=INT |
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Article |
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doaj-96a661710283404c9ed8540d4e5918512021-10-02T09:41:33ZengDe GruyterTopological Algebra and its Applications2299-32312016-10-014110.1515/taa-2016-0003taa-2016-0003On unitary extensions and unitary completions of topological monoidsAverbukh Boris G.0Moscow State Forestry University, department of mathematics, Moscow, Russian FederationThe concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0003/taa-2016-0003.xml?format=INTtopological monoid Cauchy space completion |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Averbukh Boris G. |
| spellingShingle |
Averbukh Boris G. On unitary extensions and unitary completions of topological monoids Topological Algebra and its Applications topological monoid Cauchy space completion |
| author_facet |
Averbukh Boris G. |
| author_sort |
Averbukh Boris G. |
| title |
On unitary extensions and unitary
completions of topological monoids |
| title_short |
On unitary extensions and unitary
completions of topological monoids |
| title_full |
On unitary extensions and unitary
completions of topological monoids |
| title_fullStr |
On unitary extensions and unitary
completions of topological monoids |
| title_full_unstemmed |
On unitary extensions and unitary
completions of topological monoids |
| title_sort |
on unitary extensions and unitary
completions of topological monoids |
| publisher |
De Gruyter |
| series |
Topological Algebra and its Applications |
| issn |
2299-3231 |
| publishDate |
2016-10-01 |
| description |
The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the
concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary
Cauchy nets converge. |
| topic |
topological monoid Cauchy space completion |
| url |
http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0003/taa-2016-0003.xml?format=INT |
| work_keys_str_mv |
AT averbukhborisg onunitaryextensionsandunitarycompletionsoftopologicalmonoids |
| _version_ |
1716856548934811648 |