The basis problem for subspaces of monotonically normal compacta
classification
🧮 math.GN
keywords
monotonicallynormaluncountableassumingbasiscompactcompactacontains
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We prove, assuming Souslin's Hypothesis, that each uncountable subspace of each zero-dimensional monotonically normal compact space contains an uncountable subset of the real line with either the metric, the Sorgenfrey, or the discrete topology.
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