AbstractModels of set theory are constructed where the non-stationary ideal on PΩ1λ (λ an uncountable regular cardinal) is presaturated. The initial model has a Woodin cardinal. Using the Lévy collapse the Woodin cardinal becomes λ+ in the final model. These models provide new information about the consistency strength of a presaturated ideal onPΩ1λ for λ greater than Ω1
Ulam proved that there cannot exist a probability measure on the reals for which every set is measur...
AbstractWe study the fine structure of the core model for one Woodin cardinal, building of the work ...
It is well known that for any n < ω, the reals in the minimal fully iterable L [ � E]-model with...
AbstractModels of set theory are constructed where the non-stationary ideal on PΩ1λ (λ an uncountabl...
AbstractWe study the fine structure of the core model for one Woodin cardinal, building of the work ...
This seminar note presents Woodin’s proof of Theorem 1 as given in [3, §3.1] with some details added...
It is well known that saturation of ideals is closely related to the “antichain-catching” phenomenon...
The purpose of this thesis is to use the tools of Inner Model Theory to the study of notions relativ...
AbstractStarting with a λ-supercompact cardinal κ, where λ is a regular cardinal greater than or equ...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
Abstract. We present a forcing poset for destroying the stationarity of certain subsets of Pκκ +. Us...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
Abstract. We present a technique for destroying stationary subsets of Pκκ+ using partial square sequ...
We present Woodin’s proof that if there exists a measurable Woodin cardinal δ, then there is a forci...
Ulam proved that there cannot exist a probability measure on the reals for which every set is measur...
AbstractWe study the fine structure of the core model for one Woodin cardinal, building of the work ...
It is well known that for any n < ω, the reals in the minimal fully iterable L [ � E]-model with...
AbstractModels of set theory are constructed where the non-stationary ideal on PΩ1λ (λ an uncountabl...
AbstractWe study the fine structure of the core model for one Woodin cardinal, building of the work ...
This seminar note presents Woodin’s proof of Theorem 1 as given in [3, §3.1] with some details added...
It is well known that saturation of ideals is closely related to the “antichain-catching” phenomenon...
The purpose of this thesis is to use the tools of Inner Model Theory to the study of notions relativ...
AbstractStarting with a λ-supercompact cardinal κ, where λ is a regular cardinal greater than or equ...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
Abstract. We present a forcing poset for destroying the stationarity of certain subsets of Pκκ +. Us...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
International audienceGiven a regular cardinal κ > ω 1 and a cardinal λ with κ ≤ cf (λ) < λ, we show...
Abstract. We present a technique for destroying stationary subsets of Pκκ+ using partial square sequ...
We present Woodin’s proof that if there exists a measurable Woodin cardinal δ, then there is a forci...
Ulam proved that there cannot exist a probability measure on the reals for which every set is measur...
AbstractWe study the fine structure of the core model for one Woodin cardinal, building of the work ...
It is well known that for any n < ω, the reals in the minimal fully iterable L [ � E]-model with...
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