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- Stability_spectrum abstract "In model theory, a branch of mathematical logic, a complete first-order theory T is called stable in λ (an infinite cardinal number), if the Stone space of every model of T of size ≤ λ has itself size ≤ λ. T is called a stable theory if there is no upper bound for the cardinals κ such that T is stable in κ. The stability spectrum of T is the class of all cardinals κ such that T is stable in κ.For countable theories there are only four possible stability spectra. The corresponding dividing lines are those for total transcendentality, superstability and stability. This result is due to Saharon Shelah, who also defined stability and superstability.".
- Stability_spectrum wikiPageID "15560112".
- Stability_spectrum wikiPageLength "5626".
- Stability_spectrum wikiPageOutDegree "16".
- Stability_spectrum wikiPageRevisionID "607169967".
- Stability_spectrum wikiPageWikiLink Cardinal_number.
- Stability_spectrum wikiPageWikiLink Category:Model_theory.
- Stability_spectrum wikiPageWikiLink Dividing_line_(model_theory).
- Stability_spectrum wikiPageWikiLink Mathematical_logic.
- Stability_spectrum wikiPageWikiLink Model_theory.
- Stability_spectrum wikiPageWikiLink Morley_rank.
- Stability_spectrum wikiPageWikiLink Morleys_categoricity_theorem.
- Stability_spectrum wikiPageWikiLink Saharon_Shelah.
- Stability_spectrum wikiPageWikiLink Spectrum_of_a_theory.
- Stability_spectrum wikiPageWikiLink Springer_Science+Business_Media.
- Stability_spectrum wikiPageWikiLink Stable_group.
- Stability_spectrum wikiPageWikiLink Stable_theory.
- Stability_spectrum wikiPageWikiLink Structure_(mathematical_logic).
- Stability_spectrum wikiPageWikiLink Type_(model_theory).
- Stability_spectrum wikiPageWikiLinkText "Stability spectrum".
- Stability_spectrum wikiPageUsesTemplate Template:Citation.
- Stability_spectrum wikiPageUsesTemplate Template:Main.
- Stability_spectrum subject Category:Model_theory.
- Stability_spectrum comment "In model theory, a branch of mathematical logic, a complete first-order theory T is called stable in λ (an infinite cardinal number), if the Stone space of every model of T of size ≤ λ has itself size ≤ λ. T is called a stable theory if there is no upper bound for the cardinals κ such that T is stable in κ. The stability spectrum of T is the class of all cardinals κ such that T is stable in κ.For countable theories there are only four possible stability spectra.".
- Stability_spectrum label "Stability spectrum".
- Stability_spectrum sameAs Q7595730.
- Stability_spectrum sameAs m.03nn0nf.
- Stability_spectrum sameAs Q7595730.
- Stability_spectrum wasDerivedFrom Stability_spectrum?oldid=607169967.
- Stability_spectrum isPrimaryTopicOf Stability_spectrum.