The one-equator property
Lakner, Mitja ; Petek, Peter
Experiment. Math., Tome 6 (1997) no. 4, p. 109-115 / Harvested from Project Euclid
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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.
Publié le : 1997-05-14
Classification:  58F23,  30D05 
@article{1047649998,
     author = {Lakner, Mitja and Petek, Peter},
     title = {The one-equator property},
     journal = {Experiment. Math.},
     volume = {6},
     number = {4},
     year = {1997},
     pages = { 109-115},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047649998}
}

Lakner, Mitja; Petek, Peter. The one-equator property. Experiment. Math., Tome 6 (1997) no. 4, pp.  109-115. http://gdmltest.u-ga.fr/item/1047649998/