Real Functions Theory 1 - NRFA013
Title: Teorie reálných funkcí 1
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Classification: Mathematics > Real and Complex Analysis
Interchangeability : NMMA404
Is co-requisite for: NRFA014
Is incompatible with: NMMA404
Is interchangeable with: NMMA404
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Annotation -
Borel sets and Baire functions. Semicontinuous functions and functions of the first Baire class. Baire property. Analytical sets.
Last update: T_KMA (21.05.2010)
Literature -

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 (23.05.2008)
Syllabus -

Transfinite constructions of counterexamples. Borel sets and Baire functions. Semicontinuous functions and functions of the first Baire class. Baire property. Hausdorff measures.

Last update: T_KMA (22.05.2003)