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Sierpiński Curve Julia Sets of Rational Maps

✍ Scribed by Norbert Steinmetz


Book ID
120888021
Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
632 KB
Volume
6
Category
Article
ISSN
1617-9447

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Monotone open homogeneity of Sierpiński
✍ Carl R. Seaquist 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 447 KB

This paper answers positively the open question of whether or not the Sierpiński curve is homogeneous with respect to monotone open maps. It constructs a monotone open map from the Sierpiński curve onto the Sierpiński curve. The map takes a boundary point of a complementary region onto a point which