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In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory.

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rdf:type	book
rdfs:label	Inner model theory (en)
rdfs:comment	In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory. (en)
sameAs	Inner model theory
dbp:wikiPageUsesTemplate	dbt:Citation
Subject	Inner model theory
gold:hypernym	Study
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Inner_model_theory?oldid=965705831&ns=0
Wikipage page ID	3796621 (xsd:integer)
page length (characters) of wiki page	2778 (xsd:nonNegativeInteger)
Wikipage revision ID	965705831 (xsd:integer)
Link from a Wikipage to another Wikipage	Forcing (mathematics) Axiom of constructibility Von Neumann universe Diamond principle Kurt Gödel Set theory Zermelo–Fraenkel set theory Zero dagger Class (set theory) Springer Science+Business Media Consistency Constructible universe Continuum hypothesis Core model Ordinal definable set Solovay model Equiconsistency Inner model theory Descriptive set theory Determinacy Inner model L(R) Model theory Transitive set Subclass (set theory) Subset Large cardinal
has abstract	In set theory, inner model theory is the study of certain models of ZFC or some fragment or strengthening thereof. Ordinarily these models are transitive subsets or subclasses of the von Neumann universe V, or sometimes of a generic extension of V. Inner model theory studies the relationships of these models to determinacy, large cardinals, and descriptive set theory. Despite the name, it is considered more a branch of set theory than of model theory. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Inner_model_theory
is Link from a Wikipage to another Wikipage of	Axiom of constructibility Azriel Lévy List of set theory topics Inner model John von Neumann
is known for of	John von Neumann
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Inner_model_theory

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