| Time: | 12:30 - 13:30 |
| Room: |
Wean Hall 7201
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| Speaker: |
Bill Chen Department of Mathematics UCLA |
| Title: |
Can every mutually stationary sequence be tightly stationary?
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| Abstract: | Mutual and tight stationarity are two notions of stationarity defined on certain products associated to a singular cardinal, introduced by Foreman and Magidor. Tight stationarity is closely related to the structure of scales at the singular cardinal, whereas mutual stationarity has a more mysterious, model-theoretic character. In this talk, I will investigate the question of Cummings, Foreman, and Magidor of whether every mutually stationary sequence can be tightly stationary. The main result is a model where mutual and tight stationarity are distinct everywhere (joint with Itay Neeman). |