Homogeneity, universality and saturatedness of limit reduced powers I
J. Wierzejewski (1977)
Fundamenta Mathematicae
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J. Wierzejewski (1977)
Fundamenta Mathematicae
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Jana Flašková (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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We show that in the presence of large cardinals proper forcings do not change the theory of with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.