Geodesic
Extending real-valued functions in $\beta_k$
Fundamenta Mathematicae, Tome 152 (1997) no. 1, pp. 21-41
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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*. 
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     title = {Extending real-valued functions in $\beta_k$},
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Alan Dow. Extending real-valued functions in $\beta_k$. Fundamenta Mathematicae, Tome 152 (1997) no. 1, pp. 21-41. doi: 10.4064/fm_1997_152_1_1_21_41

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