The exact consistency strength of the generic absoluteness for the universally Baire sets
A set of reals is universally Baire if all of its continuous preimages in topological spaces have the Baire property. $\mathsf {Sealing}$ is a type of generic absoluteness condition introduced by Woodin that asserts in strong terms that the theory of the universally Baire sets cannot be chang...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2024-01-01
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| Series: | Forum of Mathematics, Sigma |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423001275/type/journal_article |
| Summary: | A set of reals is universally Baire if all of its continuous preimages in topological spaces have the Baire property.
$\mathsf {Sealing}$
is a type of generic absoluteness condition introduced by Woodin that asserts in strong terms that the theory of the universally Baire sets cannot be changed by forcing. |
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| ISSN: | 2050-5094 |