Alexander Blokh, Lex Oversteegen, Vladlen Timorin, Yimin Wang
Published 2023-04-23Version 1
We construct a locally connected model of the boundary of the cubic connectedness locus. The model is obtained by constructing a decomposition of the space of critical portraits and collapsing elements of the decomposition into points. This model is similar to a quotient of the quadratic combinatorial locus where all baby Mandelbrot sets are collapsed to points. All fibers of the model, possibly except one, are connected.
Models for spaces of dendritic polynomials
A model of the cubic connectedness locus
Baby Mandelbrot sets and Spines in some one-dimensional subspaces of the parameter space for generalized McMullen Maps
![QR code for arXiv:2304.11516 [math.DS]](http://oss.arxitics.com/images/favicon.svg)