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- W2519182783 abstract "We prove that a wide class of strongly proper forcing posets have quotients with strong properties. Specifically, we prove that quotients of forcing posets which have simple universal strongly generic conditions on a stationary set of models by certain nice regular suborders satisfy the $omega_1$-approximation property. We prove that the existence of stationarily many $omega_1$-guessing models in $P_{omega_2}(H(theta))$, for sufficiently large cardinals $theta$, is consistent with the continuum being arbitrarily large, solving a problem of Viale and Weiss." @default.
- W2519182783 created "2016-09-23" @default.
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- W2519182783 date "2014-06-12" @default.
- W2519182783 modified "2023-09-27" @default.
- W2519182783 title "Quotients of Strongly Proper Forcings and Guessing Models" @default.
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