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In mathematics, a cardinal number κ is called superstrong if and only if there exists an elementary embedding j : V → M from V into a transitive inner
Superstrong_cardinal
Topics referred to by the same term
In mathematics, superstrong may refer to: Superstrong cardinal in set theory Superstrong approximation in algebraic group theory This disambiguation page
Superstrong
weakly hyper-Woodin, Shelah, hyper-Woodin cardinals superstrong cardinals (=1-superstrong; for n-superstrong for n≥2 see further down.) subcompact, strongly
List of large cardinal properties
List_of_large_cardinal_properties
measurable cardinals below κ which is regular, and thus κ is a limit of κ-many measurable cardinals. Strong cardinals also lie below superstrong cardinals and
Strong_cardinal
Kind of large cardinal number
subcompact cardinals implies existence of many 1-extendible cardinals, and hence many superstrong cardinals. Existence of a 2κ-supercompact cardinal κ implies
Subcompact_cardinal
Problem in set theory
and is believed to imply the existence of an inner model with a superstrong cardinal. List of statements independent of ZFC Continuum hypothesis AD+ Cantor's
Suslin's_problem
Subtle cardinal Supercompact cardinal Superstrong cardinal Totally indescribable cardinal Weakly compact cardinal Weakly hyper-Woodin cardinal Weakly
List of mathematical logic topics
List_of_mathematical_logic_topics
known how to deal with long extenders, which establish that a cardinal is superstrong.) Here countable iterability means ω1+1 iterability for all countable
Core_model
Catalan mathematician
Bagaria; J. D. Hamkins; K. Tsaprounis & T. Usuba (2016). "Superstrong and other large cardinals are never Laver indestructible". Archive for Mathematical
Joan_Bagaria
Mathematical concept
the Cayley graphs of finite simple groups, and to the related topic of superstrong approximation. Green 2012. Ruzsa, I. Z. (1994). "Generalized arithmetical
Approximate_group
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SUPERSTRONG CARDINAL
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SUPERSTRONG CARDINAL
SUPERSTRONG CARDINAL
SUPERSTRONG CARDINAL
SUPERSTRONG CARDINAL
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