Abstract
The notion of constructibility introduced by Gödel in [2] has been generalized by Hajnal [3], [4] in order to prove the conditional independence of the generalized continuum hypothesis and related axioms. A very similar construction was used independently by Shoenfield [11], [12]2and the author [7] to prove the conditional independence ofV = Land related axioms. Here we shall prove results further in the latter direction than those in Shoenfield [12].
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