A theorem on remainders of topological groups
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| Publication date | 01-04-2017 |
| Journal | Topology and its Applications |
| Volume | Issue number | 220 |
| Pages (from-to) | 189-192 |
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| Abstract | It has been established in [7–9] that a non-locally compact topological group G with a first-countable remainder can fail to be metrizable. On the other hand, it was shown in [6] that if some remainder of a topological group G is perfect, then this remainder is first-countable. We improve considerably this result below: it is proved that in the main case, when G is not locally compact, the space G is separable and metrizable. Some corollaries of this theorem are given, and an example is presented showing that the theorem is sharp. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1016/j.topol.2017.02.003
(Final published version)
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