Hostname: page-component-7c8c6479df-r7xzm Total loading time: 0 Render date: 2024-03-28T08:21:36.465Z Has data issue: false hasContentIssue false

Bounded hyperbolic components of quadratic rational maps

Published online by Cambridge University Press:  01 June 2000

ADAM LAWRENCE EPSTEIN
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853-4201, USA (e-mail: adame@math.cornell.edu)

Abstract

Let $\mathcal{H}$ be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that $\mathcal{H}$ has compact closure in moduli space if and only if neither attractor is a fixed point.

Type
Research Article
Copyright
2000 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)