Hereditarily normal manifolds of dimension > 1 may all be metrizable
General Topology
2016-07-19 v1
Abstract
P.J. Nyikos has asked whether it is consistent that every hereditarily normal manifold of dimension > 1 is metrizable, and proved it is if one assumes the consistency of a supercompact cardinal, and, in addition, that the manifold is hereditarily collectionwise Hausdorff. We are able to omit these extra assumptions.
Keywords
Cite
@article{arxiv.1607.04756,
title = {Hereditarily normal manifolds of dimension > 1 may all be metrizable},
author = {Alan Dow and Franklin D. Tall},
journal= {arXiv preprint arXiv:1607.04756},
year = {2016}
}