Espaces -complètement réguliers
Extending complete continuous pseudometrics
Extending real-valued functions in βκ
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 and that it is consistent that ω*{pis C*-embedded for some but not all p ∈ ω*.
Extension of sequentially continuous mappings
Extensions of functions defined on product spaces
Extensions of Lebesgue sets and of real-valued functions
Extensions of Zero-sets and of Real-valued Functions.