Lev Bukovsk\'y, Jaroslav Sk\v riv\'anek
The smallest common extension of a sequence of models of ZFC

Comment.Math.Univ.Carolinae 35,4 (1994) 745-752.

Abstract:In this note, we show that the model obtained by finite support iteration of a sequence of generic extensions of models of ZFC of length $\omega $ is sometimes the smallest common extension of this sequence and very often it is not.

Keywords: model of ZFC, generic extension, rigid Boolean algebra, hereditary $M$-definable
AMS Subject Classification: Primary 03E40; Secondary 03E45