The spectrum of ultraproducts of finite cardinals for an ultrafilter

@article{Shelah2018TheSO,
  title={The spectrum of ultraproducts of finite cardinals for an ultrafilter},
  author={Saharon Shelah},
  journal={Acta Mathematica Hungarica},
  year={2018},
  volume={155},
  pages={201-220}
}
  • S. Shelah
  • Published 24 December 2013
  • Mathematics
  • Acta Mathematica Hungarica
We complete the characterization of the possible spectrum of regular ultrafilters D on a set I, where the spectrum is the set of ultraproducts of (finite) cardinals modulo D which are infinite. 
2 Citations
ON CUTS IN ULTRAPRODUCTS OF LINEAR ORDERS II
TLDR
A combinatorial characterization of the class C is given that if D is a uniform ultrafilter on a cardinal κ and D is ${\aleph _1}$-complete or ${\theta_1} + {\theta _2} > {2^\kappa}.
LIST OF PUBLICATIONS
1. Sh:a Saharon Shelah. Classification theory and the number of nonisomorphic models, volume 92 of Studies in Logic and the Foundations of Mathematics. North-Holland Publishing Co., Amsterdam-New

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