On topologies on the underlying set of a topological monoid induced by its unitary extensions
Extensions of a given topological monoid where all its unitary Cauchy filters converge, can induce di˙erent topologies on its underlying set. We study properties of these topologies and prove a condition under which the initial topology of this monoid is one of them.
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-04-01
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| Series: | Topological Algebra and its Applications |
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| Online Access: | https://doi.org/10.1515/taa-2020-0110 |