  We give a proof of the H\"older continuity of weak solutions of certain
degenerate doubly nonlinear parabolic equations in measure spaces. We only
assume the measure to be a doubling non-trivial Borel measure which supports a
Poincar\'e inequality. The proof discriminates between large scales, for which
a Harnack inequality is used, and small scales, that require intrinsic scaling
methods.
