## MSC (2000) 03C64 We calculate the universal Euler characteristic and universal dimension function on semilinear and semibounded sets and obtain some criteria for definable equivalence of semilinear and semibounded sets in terms of these invariants.
Geometric rigidity of a class of fractal sets
✍ Scribed by Antti Käenmäki
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 137 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We study geometric rigidity of a class of fractals, which is slightly larger than the collection of self‐conformal sets. Namely, using a new method, we shall prove that a set of this class is contained in a smooth submanifold or is totally spread out. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract We define a class of so‐called ∑(__n__)‐sets as a natural closure of recursively enumerable sets __W__~n~ under the relation “∈” and study its properties.
Let K be an algebraically closed field of characteristic zero, endowed with a complete nonarchimedean norm. Let X be a K-rigid analytic variety and ⌺ a semianalytic subset of X. Then the closure of ⌺ in X with respect to the canonical topology is again semianalytic. The proof uses embedded resolutio