### On the cardinality and weight spectra of compact spaces, II

by Juhasz and Shelah. [JuSh:612]

Fundamenta Math, 1998

Let B(kappa, lambda) be the subalgebra of P (kappa) generated
by [kappa]^{<= lambda} . It is shown
that if B is any homomorphic image of B(kappa, lambda) then
either |B|< 2^lambda or |B|=|B|^lambda, moreover if X is
the Stone space of B then either |X| <= 2^{2^lambda} or
|X|=|B|=|B|^lambda . This implies the existence of
0-dimensional compact T_2 spaces whose cardinality and weight
spectra omit lots of singular cardinals of ``small''
cofinality.

Back to the list of publications