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