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Theory of Real Functions 2

Class at Faculty of Mathematics and Physics |
NMMA404

Syllabus

1. area a coarea formulae

2. semicontinuous functions, functions of the first Baire class

3. density topology, approximate continuity and differentiability

4. a deeper view on derivatives

5. sets with a finite perimeter, divergence theorem

Annotation

The course is devoted to several basic results of geometric measure theory and to deeper results on derivatives and B1 functions.