250118, VO 2st, Wintersemester 2012
Mengenlehre (reading course) Descriptive Set Theory
| Vortragender: | Jakob
Kellner |
| Inhalt: | Kechris: Classical Descriptive Set Theory |
| Ort: |
Seminarraum des
KGRC |
| Zeit: |
WEDNESDAY9:00-10:30 |
We assume knowledge of basic mathematical logic as well of set theory as
covered by Mengenlehre 1+2 courses (e.g., you should know why AC and GCH hold in
L, how forcing works including iterated forcing etc).
We will read Kechris Classical Descriptive Set Theory (about the first 180 pages, plus selected topics).
The language of the course will be English
Workload
Be aware that this is a 7 ECTS course, i.e., the workload ist supposed to be
175 hours (of 60min) in total, i.e., 152h of independent work if you deduct the
ca 23h of lecture time. Divided by 16 weeks, this corresponds to 9.5h/week. You should be able and willing to invest this time (and complain to me if you need more than 9.5h per week to follow the course).
Schedule:
Session 8, Wed Jan 9
Read Sections 17 and 18.
Do 5 exercises of your choice.
Session 7, Wed Dec 12
Read Sections 15 and 16.
Do 5 more exercises of your choice.
Session 6
No session on Nov 27 or 28. Next session
Wed Dec 5.
Read Sections 13 and 14.
Do 5 more exercises of your choice.
Session 5, TUESDAY November 13
Read Sections 10, 11 and 12.
Do 5 more exercises of your choice.
November 7
(This session was cancelled.)
Session 4, October 31
Read up to Sec 9.
Do 5 more exercises of your choice.
Session 3, October 24
Read up to Sec 8, i.e., page 57.
Do 5 more exercises of your choice.
Session 2, October 17
Read up to Sec 7, i.e., up to page 40.
Do 5 more exercises of your choice.
If you like functional Analysis, try to find examples why
in the strong and weak Topology the whole space $L(X,Y)$ is not
complete (as opposed to the unit ball in the operator norm, cf. p14(5), p19 4.B(2) or p20(4.9))
Session 1, October 10
Read Ch1, Sec1-6, i.e., up to page 34. Do 5 exercises of your choice.