The basis problem for subspaces of monotonically normal compacta
arXiv:1202.4018 · doi:10.1016/j.topol.2015.09.028
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.
12 pages