We prove a theorem whose countable version is that a zero-dimensional
polyadic space of countable tightness is a Uniform Eberlein compact
space.
We prove that if a point p of a polyadic space Y has
\pi\chi(p, Y) = \kappa > \omega, then there exists K subset Y such
that p in K and K is homeomorphic to the Cantor cube 2\kappa.
