Subjects

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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)