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math.LONov 1, 2000
36
citations (OpenAlex)
authors
  • Saharon Shelah
arXiv abstractPDF
paper

Categoricity in abstract elementary classes: going up inductive step

arXiv:math/0011215

Abstract

We deal with stability theory for ``reasonable'' non-elementary classes without any remanents of compactness (like: above Hanf number or definable by L_{omega_1, omega}).

Cited by in corpus (9)

  • Excellent Abstract Elementary Classes are tame
  • Rank functions and partial stability spectra for tame AECs
  • Uniqueness of Limit Models in Classes with Amalgamation
  • Beginning of stability theory for Polish Spaces
  • Limit Models in Metric Abstract Elementary Classes: the Categorical case
  • Shelah's Categoricity Conjecture from a successor for Tame Abstract Elementary Classes
  • Upward Stability Transfer for Tame Abstract Elementary Classes
  • Density of uniqueness triples from the diamond axiom
  • Superstability and Symmetry
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