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- Core_model abstract "In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to \"the core model\", it is not a uniquely identified mathematical object. Rather, it is a class of inner models that under the right set theoretic assumptions have very special properties, most notably covering properties. Intuitively, the core model is \"the largest canonical inner model there is\" (Ernest Schimmerling and John R. Steel) and is typically associated with a large cardinal notion. If Φ is a large cardinal notion, then the phrase \"core model below Φ\" refers to the definable inner model that exhibits the special properties under the assumption that there does not exist a cardinal satisfying Φ. The core model program seeks to analyze large cardinal axioms by determining the core models below them.".
- Core_model wikiPageExternalLink coremodel.pdf.
- Core_model wikiPageExternalLink papers.
- Core_model wikiPageID "3781904".
- Core_model wikiPageLength "7129".
- Core_model wikiPageOutDegree "28".
- Core_model wikiPageRevisionID "705083328".
- Core_model wikiPageWikiLink Category:Inner_model_theory.
- Core_model wikiPageWikiLink Category:Large_cardinals.
- Core_model wikiPageWikiLink Constructible_universe.
- Core_model wikiPageWikiLink Continuum_hypothesis.
- Core_model wikiPageWikiLink Covering_lemma.
- Core_model wikiPageWikiLink Diamond_principle.
- Core_model wikiPageWikiLink Dodd–Jensen_core_model.
- Core_model wikiPageWikiLink Extender_(set_theory).
- Core_model wikiPageWikiLink Inner_model.
- Core_model wikiPageWikiLink John_R._Steel.
- Core_model wikiPageWikiLink Kurt_Gödel.
- Core_model wikiPageWikiLink Large_cardinal.
- Core_model wikiPageWikiLink Measurable_cardinal.
- Core_model wikiPageWikiLink Mouse_(set_theory).
- Core_model wikiPageWikiLink Robert_M._Solovay.
- Core_model wikiPageWikiLink Ronald_Jensen.
- Core_model wikiPageWikiLink Set_(mathematics).
- Core_model wikiPageWikiLink Set_theory.
- Core_model wikiPageWikiLink Strong_cardinal.
- Core_model wikiPageWikiLink Superstrong_cardinal.
- Core_model wikiPageWikiLink Transfinite_induction.
- Core_model wikiPageWikiLink Ultrafilter.
- Core_model wikiPageWikiLink Von_Neumann_universe.
- Core_model wikiPageWikiLink Well-order.
- Core_model wikiPageWikiLink Zero_dagger.
- Core_model wikiPageWikiLink Zero_sharp.
- Core_model wikiPageWikiLinkText "Core model".
- Core_model wikiPageWikiLinkText "K".
- Core_model wikiPageWikiLinkText "core model".
- Core_model subject Category:Inner_model_theory.
- Core_model subject Category:Large_cardinals.
- Core_model hypernym Model.
- Core_model type Person.
- Core_model type Redirect.
- Core_model comment "In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to \"the core model\", it is not a uniquely identified mathematical object. Rather, it is a class of inner models that under the right set theoretic assumptions have very special properties, most notably covering properties. Intuitively, the core model is \"the largest canonical inner model there is\" (Ernest Schimmerling and John R.".
- Core_model label "Core model".
- Core_model sameAs Q5170200.
- Core_model sameAs m.09_pl4.
- Core_model sameAs Q5170200.
- Core_model wasDerivedFrom Core_model?oldid=705083328.
- Core_model isPrimaryTopicOf Core_model.