The basis problem for subspaces of monotonically normal compacta
General Topology
2016-07-25 v2
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.
Keywords
Cite
@article{arxiv.1202.4018,
title = {The basis problem for subspaces of monotonically normal compacta},
author = {Ahmad Farhat},
journal= {arXiv preprint arXiv:1202.4018},
year = {2016}
}
Comments
12 pages