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1997 The one-equator property
Mitja Lakner, Peter Petek
Experiment. Math. 6(2): 109-115 (1997).

Abstract

We show the existence of points in the Mandelbrot cardioid that have the one-equator property, a property useful for the study of quaternionic dynamics. The question whether the Julia set is homeomorphic to a codimension-one sphere becomes a good deal more subtle in quaternionic dynamics.

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Mitja Lakner. Peter Petek. "The one-equator property." Experiment. Math. 6 (2) 109 - 115, 1997.

Information

Published: 1997
First available in Project Euclid: 14 March 2003

zbMATH: 0887.58026
MathSciNet: MR1474572

Subjects:
Primary: 58F23
Secondary: 30D05

Rights: Copyright © 1997 A K Peters, Ltd.

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Vol.6 • No. 2 • 1997
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