Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/9604
 Title: Metrizability of hereditarily normal compact like groups Authors: Dikranjan, DikranImpieri, DanieleToller, Daniele Keywords: locally compact group; locally minimal group; \omega-bounded group; countably compact group; hereditarily normal topological group; metrizable group Issue Date: 2013 Publisher: EUT Edizioni Università di Trieste Source: Dikran Dikranjan, Daniele Impieri and Daniele Toller, "Metrizability of hereditarily normal compact like groups", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 123–135. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics45 (2013) Abstract: Inspired by the fact that a compact topological group is hereditarily normal if and only if it is metrizable, we prove that various levels of compactness-like properties imposed on a topological group G allow one to establish that G is hereditarily normal if and only if G is metrizable (among these properties are locally compactness, local minimality and \omega-boundedness). This extends recent results from [4] in the case of countable compactness. URI: http://hdl.handle.net/10077/9604 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.45 (2013)

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