English

A long EF-equivalence non isomorphic models

Logic 2007-05-23 v2

Abstract

There has been much interest on constructing models which are not isomorphic of cardinality lambda but are equivalent under the Ehrenfeucht-Fraisse game of length alpha even for every alpha<lambda. So under G.C.H. we know much. We deal here with constructions of such pairs of models proven in ZFC and get the existence under mild conditions.

Cite

@article{arxiv.math/0404222,
  title  = {A long EF-equivalence non isomorphic models},
  author = {Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0404222},
  year   = {2007}
}