Results 41 to 50 of about 199 (115)
A stationary-tower-free proof of sealing from a supercompact
, 2022 Sealing is a generic absoluteness principle for the theory of the universally Baire sets of reals introduced by Woodin. It is deeply connected to the Inner Model Program and plays a prominent role in recent advances in inner model theory.
Müller, Sandra; orcid:
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Global Chang's Conjecture and singular cardinals. [PDF]
Eur J Math, 2021 Eskew M, Hayut Y.
europepmc +1 more source
Infinitary Combinatorics Near Singular Cardinals
Large cardinals exhibit many combinatorial properties, some of which can consistently hold at small cardinals. This thesis examines several of these properties, focusing on their behavior at or near singular cardinals.
William Adkisson (18886255)
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Large cardinals and locally defined well-orders of the universe
, 2009 By forcing over a model of ZFC + GCH (above ?) with a class-sized partial order preserving this theory we produce a model in which there is a locally defined well-order of the universe; that is, one whose restriction to all levels H (?) (? = ?
Asperó, David +3 more
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THE LEAST WEAKLY COMPACT CARDINAL CAN BE UNFOLDABLE, WEAKLY MEASURABLE AND NEARLY θ-SUPERCOMPACT
, 2013 We provefrom suitable largecardinalhypothesesthat the least weakly compact cardinal can be unfoldable, weakly measurable and even nearly θ-supercompact, for any desired θ.
Moti Gitik +3 more
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Martin's Maximum and the Pmaxaxiom(∗)
, 2000 Assuming the existence of a supercompact limit of supercompact cardinals, we modify the original consistency proof of Martin's Maximum to obtain a model in which MM holds but the Pmax axiom ...
Larson, Paul, Paul Larson
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WEAK SQUARES AND VERY GOOD SCALES
, 2018 We assume the existence of a supercompact cardinal and produce a model with weak square but no very good scale at a particular cardinal. This follows work of Cummings, Foreman, and Magidor, but uses a different approach.
MAXWELL LEVINE
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Stationary Reflection and the failure of SCH
, 2023 In this paper we prove that from large cardinals it is consistent that there is a singular strong limit cardinal $\nu$ such that the singular cardinal hypothesis fails at $\nu$ and every collection of fewer than $\mathrm{cf}(\nu)$ stationary subsets of $\
Unger, Spencer +2 more
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Epireflections and supercompact cardinals
We prove that, under suitable assumptions on a category C, the existence of supercompact cardinals implies that every absolute epireflective class of objects of C is a small-orthogonality class.
Casacuberta i Vergés, Carles +3 more
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FORCING AXIOMS, SUPERCOMPACT CARDINALS, SINGULAR CARDINAL COMBINATORICS
, 2007 The purpose of this communication is to present some recent advances on the consequences that forcing axioms and large cardinals have on the combinatorics of singular cardinals.
Matteo Viale, Viale, Matteo
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