Generic extensions of models of ZFC
[摘要] The paper contains a~self-contained alternative proof of my Theorem in \\textit{Characterization of generic extensions of models of set theory\\/}, Fund. Math. {\\bf 83} (1973), 35--46, saying that for models $M\\subseteq N$ of {\\bf ZFC} with same ordinals, the condition $Apr_{M,N}(\\kappa)$ implies that $N$ is a~$\\kappa$-C.C. generic extension of $M$.
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[效力级别] [学科分类] 物理化学和理论化学
[关键词] 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 modelDOI: DOI 10.14712/1213-7243.2015.209AMS Subject Classification: 03E45 03E40 PDF [时效性]