  Given $p/q$ and $p'/q$ both irreducible, we construct homeomorphisms between
the $p/q$ and the $p'/q$ limbs of the Mandelbrot set. This homeomorphisms are
not compatible with the dynamics. Moreover, the filled Julia sets of
corresponding parameter values are also homeomorphic. All the homeomorphisms
above have counterparts on the combinatorial level relating corresponding
external arguments, in the dynamical planes as well as in the parameter spaces.
Assuming local connectivity of $M$ we may conclude that the constructed
homeomorphisms between limbs are compatible with the embeddings of the limbs in
the plane.
