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math.LO2014
The generic pair conjecture for dependent finite diagrams
Itay Kaplan, Noa Lavi, Saharon Shelah
This paper generalizes Shelah's generic pair conjecture (now theorem) for the measurable cardinal case from first order theories to finite diagrams. We use homogeneous models in th…
math.LO2014
Forcing a countable structure to belong to the ground model
Itay Kaplan, Saharon Shelah
Suppose that is a forcing notion, is a language (in ), a -name such that " is a countable -structure". In the product , there a…