24 February 2015
2:30 - 4:00   R. Raphael (Concordia)
The Countable Lifting Property for C(X)

Last winter I attended a lecture by A.W. Hager on the countable lifing property. Suppose one has a ring homomorphism T from C(X) onto C(Y), where X and Y are Tychonoff. The question was whether the following is true: does a countable pairwise othogonal set of functions bn in C(Y) lift to a family of pairwise orthogonal functions an in C(X) so that T(an) = bn for each n. A counterexample was sought after, but it turns out that the result holds.