
The countable box product of ordinals is examined in the paper for normality and paracompactness. The continuum hypothesis is used to prove that the box product of countably many σ \sigma -compact ordinals is paracompact and that the box product of another class of ordinals is normal. A third class trivially has a nonnormal product.
Pathological topological spaces, Noncompact covering properties (paracompact, Lindelöf, etc.), Continuum hypothesis and Martin's axiom, Cardinality properties (cardinal functions and inequalities, discrete subsets)
Pathological topological spaces, Noncompact covering properties (paracompact, Lindelöf, etc.), Continuum hypothesis and Martin's axiom, Cardinality properties (cardinal functions and inequalities, discrete subsets)
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