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Instructors: Prof. Dr. phil. nat. Ulrich Kohlenbach
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-10-0324-vu
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
This course is a continuation of the course `Basic Applied Proof Theory'
and corresponds taken together with the latter with the 4+2 hours course
`Applied Proof Theory'. The course develops the Gödel functional interpretation
of full analysis (Spector), monotone interpretations of analysis and their extensions
to systems based on classes of abstract (nonseparable) metric, hyperbolic and
normed spaces. In applications to concrete proofs in mathematics we apply these
techniques to analyze proofs in the areas of approximation theory, metric fixed
point theory and ergodic theory. These applications are concerned with the extraction
of effective bounds and new qualitative uniformity results from prima facie ineffective proofs.
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