### I. Juhász

## Cardinal Functions on Continuous Images

Denote by `F(X,f,C)` the set of all values taken by the
cardinal function f on all continuous images of `X` that belong
to the class `C`. What is this "image spectrum"? In particular,
do `lambda< f(X)` and `X in C` imply `lambda
in F(X,f,C)`? These are the questions investigated in this paper,
for various choices of *f *and `C`. We show e.g. that
if `X` is compact `T_2` then `F(X,w,T_2)=[omega,w(X)]`
and if *GCH* holds then `F(X,d,T_2)=[omega,d(x)]` as
well.

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