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Embedding Unicritical Connectedness Loci

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arxiv 2209.02601 v2 pith:MFZ5F4SA submitted 2022-09-06 math.DS

classification math.DS
keywords connectednessdegreeembeddinglocuspolynomialsarticlebicriticalconstruct
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abstract

In this article, for degree $d\geq 1$, we construct an embedding $\Phi_d $ of the connectedness locus $\mathcal{M}_{d+1}$ of the polynomials $z^{d+1}+c$ into the connectedness locus of degree $2d+1$ bicritical odd polynomials.

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