Open Access
June 2003 On the regular leaf space of the cauliflower
Tomoki Kawahira
Kodai Math. J. 26(2): 167-178 (June 2003). DOI: 10.2996/kmj/1061901060

Abstract

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

Citation

Download Citation

Tomoki Kawahira. "On the regular leaf space of the cauliflower." Kodai Math. J. 26 (2) 167 - 178, June 2003. https://doi.org/10.2996/kmj/1061901060

Information

Published: June 2003
First available in Project Euclid: 26 August 2003

zbMATH: 1087.37045
MathSciNet: MR2004C:37089
Digital Object Identifier: 10.2996/kmj/1061901060

Rights: Copyright © 2003 Tokyo Institute of Technology, Department of Mathematics

Vol.26 • No. 2 • June 2003
Back to Top