A locally quasi-convex abelian group without a Mackey group topology
We give the first example of a locally quasi-convex (even countable reflexive and k_\omega ) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group A_G(\mathbf {s}) over a convergent sequence \mathbf {s}.
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2018-08, Vol.146 (8), p.3627-3632 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give the first example of a locally quasi-convex (even countable reflexive and k_\omega ) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group A_G(\mathbf {s}) over a convergent sequence \mathbf {s}. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/14020 |