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Equivalence of Self-similar and Pseudo-self-similar Tiling Spaces in ℝ2

✍ Scribed by Betseygail Rand

Publisher
Springer
Year
2011
Tongue
English
Weight
860 KB
Volume
46
Category
Article
ISSN
0179-5376

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📜 SIMILAR VOLUMES

The boundaries of self-similar tiles in
The boundaries of self-similar tiles in Rn
✍ James Keesling 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let K be a self-similar set in R n which has similarity dimension n and nonempty interior. In this paper it is shown that the topological boundary of K has Hausdorff dimension less than n. Examples are given to show that although the dimension of the boundary is strictly less than n, it may be arbit