Abstract
It is known that the set of possible cofinalities pcf($A$) has good properties if $A$ is a progressive interval of regular cardinals. In this paper, we give an interval of regular cardinals $A$ such that pcf($A$) has no good properties in the presence of a measurable cardinal, or in generic extensions by Prikry-type forcing.
Citation
Kenta Tsukuura. "Prikry-type forcing and the set of possible cofinalities." Tsukuba J. Math. 45 (2) 83 - 95, December 2021. https://doi.org/10.21099/tkbjm/20214502083
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