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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2016 | 233 | 2 | 173-196

## Existentially closed II₁ factors

EN

### Abstrakty

EN
We examine the properties of existentially closed ($𝓡 ^{ω}$-embeddable) II₁ factors. In particular, we use the fact that every automorphism of an existentially closed ($𝓡 ^{ω}$-embeddable) II₁ factor is approximately inner to prove that Th(𝓡) is not model-complete. We also show that Th(𝓡) is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonisomorphic existentially closed models of Th(𝓡).

173-196

wydano
2016

### Twórcy

autor
• Department of Mathematics and Statistics, York University, 4700 Keele Street, York, Ontario, Canada, M3J 1P3
autor
• Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Science and Engineering Offices M/C 249, 851 S. Morgan St., Chicago, IL 60607-7045, U.S.A.
autor
• Department of Mathematics and Statistics, McMaster University, 1280 Main Street W., Hamilton, Ontario, Canada L8S 4K1
autor
• Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA 22904-4137, U.S.A.