Geodesic
Generic extensions of models of ZFC
Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 3, pp. 347-358.

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The paper contains a self-contained alternative proof of my Theorem in Characterization of generic extensions of models of set theory, Fund. Math. 83 (1973), 35--46, saying that for models $M\subseteq N$ of ZFC with same ordinals, the condition $Apr_{M,N}(\kappa)$ implies that $N$ is a $\kappa$-C.C. generic extension of $M$.
DOI : 10.14712/1213-7243.2015.209
Classification : 03E40, 03E45
Keywords: inner model; extension of an inner model; $\kappa$-generic extension; $\kappa$-C.C. generic extension; $\kappa$-boundedness condition; $\kappa$ approximation condition; Boolean ultrapower; Boolean valued model 
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Bukovský, Lev. Generic extensions of models of ZFC. Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 3, pp. 347-358. doi : 10.14712/1213-7243.2015.209. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.209/

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