Geometric properties of semilinear and semibounded sets
✍ Scribed by Jana Maříková
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 195 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
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.
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## 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.
A solid is a connected orientable compact subset of R 3 which is a 3-manifold with boundary. Moreover, its boundary consists of finitely many components, each of which is a subset of the union of finitely many almost smooth surfaces. Motivated by numerical robustness issues, we consider a finite col