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The basis problem for subspaces of monotonically normal compacta

Published 17 Feb 2012 in math.GN | (1202.4018v2)

Abstract: 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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