Stability spectrum
http://dbpedia.org/resource/Stability_spectrum
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.
rdf:langString
rdf:langString
Stability spectrum
xsd:integer
15560112
xsd:integer
931296633
rdf:langString
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 are those for total transcendentality, superstability and stability. This result is due to Saharon Shelah, who also defined stability and superstability.
xsd:nonNegativeInteger
5851