Almost all submaximal groups are paracompact and σ-discrete
Alas, O. ; Protasov, I. ; Tkačenko, M. ; Tkachuk, V. ; Wilson, R. ; Yaschenko, I.
Fundamenta Mathematicae, Tome 158 (1998), p. 241-260 / Harvested from The Polish Digital Mathematics Library
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We prove that any topological group of a non-measurable cardinality is hereditarily paracompact and strongly σ-discrete as soon as it is submaximal. Consequently, such a group is zero-dimensional. Examples of uncountable maximal separable spaces are constructed in ZFC.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:212271 
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     title = {Almost all submaximal groups are paracompact and $\sigma$-discrete},
     journal = {Fundamenta Mathematicae},
     volume = {158},
     year = {1998},
     pages = {241-260},
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Alas, O.; Protasov, I.; Tkačenko, M.; Tkachuk, V.; Wilson, R.; Yaschenko, I. Almost all submaximal groups are paracompact and σ-discrete. Fundamenta Mathematicae, Tome 158 (1998) pp. 241-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv156i3p241bwm/

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