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Metrizability of hereditarily normal compact like groups
Dikranjan, Dikran
Impieri, Daniele
Toller, Daniele
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (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.
Languages
en
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