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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 wikiPageRevisionID "435189628".
- Stability_spectrum hasPhotoCollection Stability_spectrum.
- 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 m.03nn0nf.
- Stability_spectrum sameAs Q7595730.
- Stability_spectrum sameAs Q7595730.
- Stability_spectrum wasDerivedFrom Stability_spectrum?oldid=435189628.
- Stability_spectrum isPrimaryTopicOf Stability_spectrum.