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Necessary and sufficient conditions for the measurability of certain sets of closed subsets

✍ Scribed by Jens Peter Reus Christensen


Publisher
Springer
Year
1973
Tongue
English
Weight
298 KB
Volume
200
Category
Article
ISSN
0025-5831

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The absence of atoms in Lyapunov's Convexity Theorem is a sufficient, but not a necessary condition for the convexity of the range of an n-dimensional vector memure. In this paper algebraic and topological convexity conditions generalizing Lyapunov's Theorem are developed which are sufficient and ne