Symmetric structure of sets
β Scribed by Casper Goffman
- Publisher
- Elsevier Science
- Year
- 1969
- Weight
- 205 KB
- Volume
- 72
- Category
- Article
- ISSN
- 1385-7258
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π SIMILAR VOLUMES
## Abstract For a homogeneous symmetric Cantor set __C__, we consider all real numbers __t__such that the intersection __C__β©(__C__ + __t__)is a selfβsimilar set and investigate the form of the corresponding iterated function systems. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim
The supremum of the symmetric difference x y := (x \ y) βͺ (y \ x) of subsets x, y of R satisfies the so-called four-point condition; that is, for all x, x , y, y β R, one has It follows that the set E of all subsets of R which are bounded from above forms a valuated matroid relative to the map v:
Centrally symmetric convex bodies in d-dimensional Euclidean space R d are related to various transforms of functions on the unit sphere S d&1 in R d . In this paper we will investigate how this relationship is affected by projections of the bodies onto lower dimensional subspaces. The results we ob