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A metric property of Sierpiński hypercubes

✍ Scribed by Hoffmann, Heiko


Book ID
120368493
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
243 KB
Volume
36
Category
Article
ISSN
1607-3606

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📜 SIMILAR VOLUMES


An extension of a result of Sierpiński
✍ M.A. Nyblom 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 231 KB

As an application of Roth's theorem concerning the rational approximation of algebraic numbers, two sufficiency conditions are derived for an alternating series of rational terms to converge to a transcendental number. The first of these conditions represents an extension of an earlier condition of

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