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Hofmann, Salvador Hern\\'andez, Sidney A. Morris","submitted_at":"2012-01-18T15:08:38Z","abstract_excerpt":"Let $G$ be an infinite locally compact group and $\\aleph$ a cardinal satisfying $\\aleph_0\\le\\aleph\\le w(G)$ for the weight $w(G)$ of $G$. It is shown that there is a closed subgroup $N$ of $G$ with $w(N)=\\aleph$. 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