Extending real-valued functions in βκ
Dow, Alan
Fundamenta Mathematicae, Tome 154 (1997), p. 21-41 / Harvested from The Polish Digital Mathematics Library
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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 c and that it is consistent that ω*{pis C*-embedded for some but not all p ∈ ω*.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:212197 
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     author = {Alan Dow},
     title = {Extending real-valued functions in $\beta$$\kappa$},
     journal = {Fundamenta Mathematicae},
     volume = {154},
     year = {1997},
     pages = {21-41},
     zbl = {0876.03026},
     language = {en},
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Dow, Alan. Extending real-valued functions in βκ. Fundamenta Mathematicae, Tome 154 (1997) pp. 21-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv152i1p21bwm/

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