Abstract
Let L be a finite first-order language and 〈M n {pipe} n < ω〉 be a sequence of finite L-models containing models of arbitrarily large finite cardinality. If the intersection of less than continuum-many dense open subsets of Cantor Space ω2 is non-empty, then there is a non-principal ultrafilter U over ω such that the corresponding ultraproduct Π U M n has an automorphism that is not induced by an element of Π n<ω Aut(M n).
| Original language | English |
|---|---|
| Pages (from-to) | 433-441 |
| Number of pages | 9 |
| Journal | Archive for Mathematical Logic |
| Volume | 51 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - May 2012 |
Keywords
- Automorphisms
- Ultraproducts