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The course is devoted to several basic results of geometric measure theory and to deeper results on derivatives
and B1 functions.
Last update: Pyrih Pavel, doc. RNDr., CSc. (13.05.2022)
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The exam is oral. The required knowledge corresponds to the sylabus at the presented extent. Last update: Zelený Miroslav, doc. RNDr., Ph.D. (17.02.2023)
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Kechris, Alexander S.: Classical descriptive set theory. Graduate Texts in Mathematics, 156. Springer-Verlag, New York, 1995.
Oxtoby, John C. Measure and category. A survey of the analogies between topological and measure spaces. Second edition. Graduate Texts in Mathematics, 2. Springer-Verlag, New York-Berlin, 1980 Last update: T_KMA (25.04.2013)
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The exam is oral or via zoom. The required knowledge corresponds to the sylabus at the presented extent. Last update: Holický Petr, doc. RNDr., CSc. (25.02.2021)
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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 Last update: Kalenda Ondřej, prof. RNDr., Ph.D., DSc. (09.05.2022)
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Theory of metric spaces, as covered by lectures NMMA201 and NMMA202. Last update: Holický Petr, doc. RNDr., CSc. (25.02.2021)
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