Introduction to continuous logic, fall 2015
- 18.12. The grading of the course is ready. The grade should show in Oodi soon. For more details, contact the lecturer.
Weeks 44-50, Monday 10-12 and Thursday 14-16 in room B120. In additon, two hours of exercise classes per week.
Course exam on Wednesday 16.12. at 12.00-14.30 in one of the auditoriums in Exactum.
As course material we will use the following survey article:
I. Ben Yaacov, A. Berenstein, C.W. Henson, A. Usvyatsov, Model theory for metric structures, in: Model Theory with Applications to Algebra and Analysis, Vol. II, Z. Chatzidakis et al. (eds.), London Math. Soc. Lecture Note Ser. 350, Cambfidge Univ. Press, Cambridge, 2008. Available via C. Ward Henson's webpage www.math.uiuc.edu/~henson/cfo/mtfms.pdf
Did you forget to register? What to do?
- Set 1 (for 6.11.) exercise added 2.11. (note: some uniform continuity needs to be assumed in 1)
- Set 2
- Set 3 (note: there was an error in exercise 3.2, it is now corrected)
- Set 4 (note: in 5, M needs to be non-compact)
- Set 5
- Set 6
29.10. Systems of connectives
5.11. logical equivalence, logical distance, conditions, theories
9.11. example: the theory of probability algebras; elementary embeddings and substructures
12.11. Tarski-Vaught Test; filters, ultrafilters and D-limits
19.11. The Fundamental Theorem of Ultraproducts
30.11. more on saturation
3.12. Implications; Types and the logic topology
7.12. The d-metric on types
10.12. Short glimpse on definability and distance predicates
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