A Borel probability measure is residual if it gives measure zero to all meager subsets. We first give some existence results about this class of measures. Then they are applied in order to get some non-existence results for probability measures defined on Boolean algebras. This is done on the basis of some duality methods. Finally we prove that the range of a nonatomic probability measure defined on a Boolean algebra which satisfies the c.c.c. is dense in the unit inter val.
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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number
1032.
Length: Date of creation: Feb 1993 Date of revision: Handle: RePEc:nwu:cmsems:1032
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