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On Some Affine Invariants of Closed Convex Regions

✍ Scribed by Neumann, B. H.

Book ID
120100256
Publisher
Oxford University Press
Year
1939
Tongue
English
Weight
289 KB
Volume
s1-14
Category
Article
ISSN
0024-6107

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We prove two results about the continuous maps F, from the space of d-dimensional convex bodies K of R g into the space of non-empty compact sets of R ~, which are subadditive and invariant by affine permutations. The first theorem gives properties of the images F(K). In the second one, we determine