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HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
English and Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Prof Omer Ben-Neria
Coordinator Office Hours:
Teaching Staff:
Prof Omer Ben-Neria
Course/Module description:
The purpose of the course is to introduce the theory of infinite games and determinacy
Topics will include:
1. Infinite games associated with sets of reals
2. The Axiom of Determinacy (AD) and applications to descriptive set theory
3. Martin's Theorem on Borel Determinacy and applications to infinite combinatorics
4. Determinacy of Analytic and Projective sets
Course/Module aims:
Introducing the theory of infinite games and determinacy
Learning outcomes - On successful completion of this module, students should be able to:
Introducing the theory of infinite games and determinacy
Attendance requirements(%):
Teaching arrangement and method of instruction:
Course/Module Content:
The purpose of the course is to introduce the theory of infinite games and determinacy
Topics will include:
1. Infinite games associated with sets of reals
2. The Axiom of Determinacy (AD) and applications to descriptive set theory
3. Martin's Theorem on Borel Determinacy and applications to infinite combinatorics
4. Determinacy of Analytic and Projective sets
Required Reading:
-
Additional Reading Material:
1. The Higher Infinite - Akihiro Kanamori
2. Classical Descriptive Set Theory - Alexander Kechris
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 50 %
Participation in Tutorials 0 %
Project work 50 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
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