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PMEA implies proposition P |
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| Authors: | William G Fleissner Roger W Hansell Heikki JK Junnila |
| Institution: | University of Pittsburgh, Pittsburgh, PA 15260, USA;University of Connecticut, Storrs, CT 06268, USA;University of Pittsburgh, Pittsburgh, PA 15260, USA;University of Helsinki, Finland |
| Abstract: | The Product Measure Extension Axiom (PMEA) asserts that for every set A, Haar measure on 2A can be extended to all subsets of 2A. 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. |
| Keywords: | Primary 03E35 Secondary 03E55 54H05 Product Measure Extension Axiom σ-discretely decomposible Proposition P analytic additive |
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