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- W3128001088 abstract "Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and X/H results in the same property for X. This is true for instance if H is precompact, or if X is metrizable and H is a dually embedded subgroup which is also either discrete or bounded torsion. We also give some general principles and point out some errors we have found in the existing literature on this problem." @default.
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- W3128001088 date "2021-07-01" @default.
- W3128001088 modified "2023-10-16" @default.
- W3128001088 title "On local quasi-convexity as a three-space property in topological abelian groups" @default.
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- W3128001088 doi "https://doi.org/10.1016/j.jmaa.2021.125052" @default.
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