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Arcwise connectedness of the boundary of connected self-similar sets

✍ Scribed by Tai-Man Tang


Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
218 KB
Volume
109
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES


The boundaries of self-similar tiles in
✍ James Keesling πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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