  C(X) denotes the space of continuous complex-valued functions on the compact
Hausdorff space X. X has the CSWP if every subalgebra of C(X) which separates
points and contains the constant functions is dense in C(X). W. Rudin showed
that all scattered X have the CSWP. We describe a class of non-scattered X with
the CSWP; by another result of Rudin, such X cannot be metrizable.
