Abstract

The Product Measure Extension Axiom (PMEA) asserts that for every set A, Haar measure on 2 A can be extended to all subsets of 2 A . PMEA implies the normal Moore space conjecture. Proposition P is the statement that every point-finite analytic-additive family of subsets of a metrizable space is σ-discretely decomposible. Proposition P is useful in nonseparable Borel theory. We show in this paper that PMEA implies Proposition P.

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