Institute for Mathematical Sciences

Preprint ims92-12

A. Poirier
Hubbard Forests

Abstract: The theory of Hubbard trees provides an effective classification of non-linear post-critically finite polynomial maps from \C to itself. This note will extend this classification to the case of maps from a finite union of copies of \C to itself. Maps which are post-critically finite and nowhere linear will be characterized by a ``forest'', which is made up out of one tree in each copy of \C.
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