Adding a lot of Cohen reals by adding a few. I
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- by Moti Gitik and Mohammad Golshani PDF
- Trans. Amer. Math. Soc. 367 (2015), 209-229 Request permission
Abstract:
In this paper we produce models $V_1\subseteq V_2$ of set theory such that adding $\kappa$-many Cohen reals to $V_2$ adds $\lambda$-many Cohen reals to $V_1$, for some $\lambda >\kappa$. We deal mainly with the case when $V_1$ and $V_2$ have the same cardinals.References
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Additional Information
- Moti Gitik
- Affiliation: School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
- MR Author ID: 74045
- Email: gitik@post.tau.ac.il
- Mohammad Golshani
- Affiliation: Kurt Gödel Research Center for Mathematical Logic (KGRC), Vienna, Austria
- Email: golshani.m@gmail.com
- Received by editor(s): August 19, 2011
- Received by editor(s) in revised form: November 9, 2012
- Published electronically: July 16, 2014
- Additional Notes: The second author would like to thank the Austrian Science Fund (FWF) for its support through research project P 223316-N13.
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 209-229
- MSC (2010): Primary 03E35
- DOI: https://doi.org/10.1090/S0002-9947-2014-06009-1
- MathSciNet review: 3271258