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Oggetto:

Aspects of Determinacy

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Academic year 2024/2025

Teacher
Alessandro Andretta (Lecturer)
Teaching period
To be defined
Credits/Recognition
6
Delivery
Formal authority
Language
English
Attendance
Obligatory
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Sommario del corso

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Program

The goal of this course is to study strong forms of the axiom of determinacy, like AD+ and AD_R, and their influence on the universe of sets. After briefly recalling standard facts about AD, we will look at several topics, including the cofinality of \Theta, the Solovay sequence, Suslin sets and uniformization, applications to Martin’s conjecture on Turing degrees. If time permits I would like to cover Woodin’s celebrated result that AD+DC+Unif implies AD_R.

Suggested readings and bibliography



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Notes

Hours: 30
Period: second term, 3 hours per week starting from Feb 2025
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Last update: 18/10/2024 15:04
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