论文标题
prikry型强迫和可能的共同性
Prikry-type forcing and the set of possible cofinalities
论文作者
论文摘要
众所周知，如果$ a $是常规红衣主教的渐进间隔，则可能的合资企业$ \ mathrm {pcf}（a）$具有良好的属性。在本文中，我们给出了常规的红衣主教$ a $的间隔，以便$ \ mathrm {pcf}（a）$在可衡量的红衣主教的主持下或通过prikry-type强迫的通用扩展中没有良好的属性。
It is known that the set of possible cofinalities $\mathrm{pcf}(A)$ 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 $\mathrm{pcf}(A)$ has no good properties in the presense of a measurable cardinal, or in generic extensions by Prikry-type forcing.
