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On a Paper of Maurice Sion
- Source :
- Canadian Journal of Mathematics. 11:409-415
- Publication Year :
- 1959
- Publisher :
- Canadian Mathematical Society, 1959.
-
Abstract
- Let M0 be the set of measures μ on the real line such that open sets are μ*-immeasurable. While attempting to find out whether a set μ*-measurable for all μ in Mo is mapped into a similar set by a continuous function of bounded variation, Maurice Sion develops a theory for what he calls variational measure (4). As an application of the theory, he gets conditions on a function f and a set of measures M in order that f map a set, which is μ*-measurable for all μ ∈ M, into a set of the same kind. In particular he proves for his class M2 (def. 2.5), the following theorem (4, § 8.11).
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 11
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........9e9b8ae582a1d23489a1301f2e2ae9a0