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We prove that any unicritical polynomial $f_c:z\mapsto z^d+c$ which is atmost finitely renormalizable and has only repelling periodic points iscombinatorially rigid. It implies that the connectedness locus (the ``Multibrotset'') is locally connected at the corresponding parameter values. Itgeneralizes Yoccoz's Theorem for quadratics to the higher degree case.

Combinatorial rigidity for unicritical polynomials