Abstract: New insights into the combinatorial structure of the the Mandelbrot set are given by `Correspondence' and `Translation'
Principles both conjectured and partially proved by E. Lau
and D. Schleicher. We provide complete proofs of these
principles and discuss results related to them.
Note: The `Translation' and `Correspondence' Principles
given earlier turned out to be false in the general case.
In April 1999, an errata was added to discuss which parts of
the two statements are incorrect and which parts remain true.
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