Geodesic
Extending real-valued functions in $\beta_k$
Fundamenta Mathematicae, Tome 152 (1997) no. 1, pp. 21-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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*.
DOI : 10.4064/fm_1997_152_1_1_21_41

Alan Dow 1

1 
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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. http://geodesic.mathdoc.fr/articles/10.4064/fm_1997_152_1_1_21_41/

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