Dense metrizable subspaces in powers of Corson compacta
General Topology
2024-03-26 v1 Logic
Abstract
We characterize when the countable power of a Corson compactum has a dense metrizable subspace and construct consistent examples of Corson compacta whose countable power does not have a dense metrizable subspace. We also give several remarks about ccc Corson compacta and, as a byproduct, we obtain a new proof of Kunen and van Mill's characterization of when a Corson compactum supporting a strictly positive measure is metrizable.
Cite
@article{arxiv.2403.15799,
title = {Dense metrizable subspaces in powers of Corson compacta},
author = {Arkady Leiderman and Santi Spadaro and Stevo Todorcevic},
journal= {arXiv preprint arXiv:2403.15799},
year = {2024}
}