Highly Influenced

# Multicorns are not path connected

@inproceedings{Hubbard2015MulticornsAN, title={Multicorns are not path connected}, author={John H. Hubbard and Dierk Schleicher}, year={2015} }

- Published 2015

The tricorn is the connectedness locus in the space of antiholomorphic quadratic polynomials z 7! z2 + c. We prove that the tricorn is not locally connected and not even pathwise connected, confirming an observation of John Milnor from 1992. We extend this discussion more generally for antiholomorphic unicritical polynomials of degrees d 2 and their connectedness loci, known as multicorns.