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Title

Extending real-valued functions in βκ

Authors 1

Affiliations

  1. Department of Mathematics, York University, North York, Ontario, Canada M5S 1A1

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 gotc and that it is consistent that ω*\{p} is C*-embedded for some but not all p ∈ ω*.

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Fundamenta Mathematicae
1997/152/1
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Pages:
21-41
Main language of publication
English
Received
1995-07-20
Accepted
1996-03-19
Published
1997
Exact and natural sciences