A countable dense homogeneous set of reals of size
Volume 186 / 2005
Fundamenta Mathematicae 186 (2005), 71-77
MSC: 54E52, 54H05, 03E15.
DOI: 10.4064/fm186-1-5
Abstract
We prove there is a countable dense homogeneous subspace of \Bbb R of size~\aleph_1. The proof involves an absoluteness argument using an extension of the L_{\omega_1\omega}(Q) logic obtained by adding predicates for Borel sets.
