On regular interstices and selective types in countable arithmetically saturated models of Peano Arithmetic
Teresa Bigorajska, Henryk Kotlarski, James Schmerl (1998)
Fundamenta Mathematicae
Similarity:
We continue the earlier research of [1]. In particular, we work out a class of regular interstices and show that selective types are realized in regular interstices. We also show that, contrary to the situation above definable elements, the stabilizer of an element inside M(0) whose type is selective need not be maximal.