Small cardinals and small Efimov spaces
Logic
2019-01-21 v1 General Topology
Abstract
We introduce and analyze a new cardinal characteristic of the continuum, the \emph{splitting number of the reals}, denoted . This number is connected to Efimov's problem, which asks whether every infinite compact Hausdorff space must contain either a non-trivial convergent sequence, or else a copy of .
Keywords
Cite
@article{arxiv.1901.06055,
title = {Small cardinals and small Efimov spaces},
author = {Will Brian and Alan Dow},
journal= {arXiv preprint arXiv:1901.06055},
year = {2019}
}