## Tsukuba Journal of Mathematics

### Non-existence of generic elementary embeddings into the ground model

Akira Suzuki

#### Abstract

Kenneth Kunen showed that there is no non-trivial elementary embedding of the universe $V$ into itself. We generalize this theorem by proving that there is no non-trivial generic elementary embedding of $V$ into itself.

#### Article information

Source
Tsukuba J. Math., Volume 22, Number 2 (1998), 343-347.

Dates
First available in Project Euclid: 30 May 2017

https://projecteuclid.org/euclid.tkbjm/1496163585

Digital Object Identifier
doi:10.21099/tkbjm/1496163585

Mathematical Reviews number (MathSciNet)
MR1650737

Zentralblatt MATH identifier
0915.03044

#### Citation

Suzuki, Akira. Non-existence of generic elementary embeddings into the ground model. Tsukuba J. Math. 22 (1998), no. 2, 343--347. doi:10.21099/tkbjm/1496163585. https://projecteuclid.org/euclid.tkbjm/1496163585