A topological characterization of the Sierpiński triangle
✍ Scribed by Benjamin Vejnar
- Book ID
- 113933903
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 377 KB
- Volume
- 159
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
The n-dimensional Sierpiński gasket X, spanned by n + 1 vertices, has (n + 1)! symmetries acting as the symmetric group on the vertices. The object of this note is the remarkable observation that for n 2 every topological automorphism of X is one of these symmetries. A modification of the arguments