### On the regular leaf space of the cauliflower

Tomoki Kawahira
Source: Kodai Math. J. Volume 26, Number 2 (2003), 167-178.

#### Abstract

We construct a pinching semiconjugacy from a quadratic polynomial $\fc(z)=z^2+c$ with $c \in (0, 1/4)$ to $\fq(z)=z^2+1/4$ on the sphere. By lifting this semiconjugacy to their natural extensions, we investigate the structure of the regular leaf space of $\fq$ in detail.

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