Extending real-valued functions in $\beta_k$
Volume 152 / 1997
Fundamenta Mathematicae 152 (1997), 21-41
DOI: 10.4064/fm_1997_152_1_1_21_41
Abstract
An Open Coloring Axiom type principle is formulated for uncountable cardinals and is shown to be a consequence of the Proper Forcing Axiom. Several applications are found. We also study dense C*-embedded subspaces of ω*, showing that there can be such sets of cardinality $\mathfrak c$ and that it is consistent that ω*\{p} is C*-embedded for some but not all p ∈ ω*.
