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- W2789584012 abstract "W. Hurewicz proved that analytic Menger sets of reals are $sigma$-compact and that co-analytic completely Baire sets of reals are completely metrizable. It is natural to try to generalize these theorems to projective sets. This has previously been accomplished by $V = L$ for projective counterexamples, and the Axiom of Projective Determinacy for positive results. For the first problem, the first author, S. Todorcevic, and S. Tokgoz have produced a finer analysis with much weaker axioms. We produce a similar analysis for the second problem, showing the two problems are essentially equivalent. We also construct in ZFC a separable metrizable space with $omega$-th power completely Baire, yet lacking a dense completely metrizable subspace. This answers a question of Eagle and Tall in Abstract Model Theory." @default.
- W2789584012 created "2018-03-29" @default.
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- W2789584012 date "2018-03-09" @default.
- W2789584012 modified "2023-09-27" @default.
- W2789584012 title "Completely Baire spaces, Menger spaces, and projective sets" @default.
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