The stack over a canonical model
数学专题报告
报告题目(Title)：The stack over a canonical model
报告人(Speaker)：Dominik Adolf (Univ. of North Texas)
地点(Place)：后主楼1223
时间(Time)：11月14日（周四）14:00-15:00
邀请人(Inviter)：施翔晖
报告摘要
The study of canonical inner models, such as Goedel's L, is crucial in many areas of set theory. An important question in that study is if it is possible to construct a canonical that is 'widest' among all canonical model, i.e. that contains the greatest amount of subsets of the ordinals. In this talk we will only consider the question if, given a canonical inner model M, there exists a 'widest' possible one cardinal extension. This extension, if it exists, is known as the stack over M. It has been already known that if the ordinal height of M is a regular uncountable cardinal, the stack over M exists. We will show that the requirement can be weakened to the ordinals of M having merely uncountable cofinality.
