σ-homomorphisms from the Borel σ-algebra into the Loeb σ-algebra

Annals of Pure and Applied Logic 111 (1-2):15-21 (2001)
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Abstract

In nonstandard measure theory the standard part map is very useful to represent standard measures by Loeb measures. We give here a different method of representing measures using the concept of a σ -homomorphism. As an application a measure extension theorem is derived. Finally a nonstandard proof of a result of Pták is given showing that his assumption of nonmeasurable cardinality is redundant

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10.1016/s0168-0072(01)00032-x

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