More topological cardinal inequalities
A new topological cardinal invariant is defined; it may be considered as a weaker form of the Lindelöf degree.
Uniform continuity in paracompact spaces
Almost all submaximal groups are paracompact and σ-discrete
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.
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