104.649 AKLOG Determinacy

2023W, VU, 4.0h, 6.0EC

Properties

  • Semester hours: 4.0
  • Credits: 6.0
  • Type: VU Lecture and Exercise
  • Format: Presence

Learning outcomes

After successful completion of the course, students are able to work with the axiom of determinacy and some of its extensions. The students will also know some structural consequences of determinacy on the collection of sets which are surjective images of the reals.

Subject of course

This course will introduce the axiom of determinacy and its basic theory including pointclasses, scales, and partition relations. As time permits, the course may survey cardinalities and combinatorics under determinacy.

Teaching methods

Lectures and exercises in person.

Mode of examination

Oral

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Mon09:00 - 12:3002.10.2023 - 16.10.2023 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon09:00 - 12:3023.10.2023 Meeting room, Freihaus, green area, 5th floor, room no. DA05C22Determinacy
Mon09:00 - 12:3030.10.2023 - 22.01.2024 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
AKLOG Determinacy - Single appointments
DayDateTimeLocationDescription
Mon02.10.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon09.10.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon16.10.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon23.10.202309:00 - 12:30 Meeting room, Freihaus, green area, 5th floor, room no. DA05C22Determinacy
Mon30.10.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon06.11.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon13.11.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon20.11.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon27.11.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon04.12.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon11.12.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon18.12.202309:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon08.01.202409:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon15.01.202409:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy
Mon22.01.202409:00 - 12:30 "Dissertantenzimmer", Freihaus, green area, 8th floor, room no. DA08B19Determinacy

Examination modalities

Presentation of exercises during the course as well as an oral exam at the end.

Course registration

Not necessary

Curricula

Study CodeObligationSemesterPrecon.Info
No records found.

Literature

No lecture notes are available.

Previous knowledge

The students in this course should have knowledge of basic topology, mathematical logic, and set theory. Some knowledge of descriptive set theory will be helpful. More advanced topics may require knowledge of forcing (as, for example, introduced in the elementary VU "AKLOG Set Theory: Introduction to Forcing" offered this semester).

Language

English