Course: Set Theory

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Course title Set Theory
Course code KMA/P427
Organizational form of instruction Lecture
Level of course Bachelor
Year of study 3
Semester Summer
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
  • Krátká Magdalena, PhDr. Ph.D.
Course content
1. Set, class. 2. Axiomatic system. 3. Ordering, well-ordering, cut. 4. Ordinal and cardinal numbers. 5. Cantor-Bernstein theorem. Axiom of choice. 6. Comparation of numerical sets. 7.Theory of finite sets. 8. Theory, model and proof. 9. Infinity combinatory, Ramsey's theorem.

Learning activities and teaching methods
unspecified
Learning outcomes
Naive theory of sets, axiomatic theory of sets, ordinal and cardinal numbers, aritmetics of ordinals and cardinals, stationary sets, continuum hypothesis, infinity combinatory (trees, Ramsey's theorem).

Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • Balcar, B., Štěpánek, P. Teorie množin, Academia Praha, 2001.
  • Fuchs, Eduard. Teorie množin pro učitele. Brno, 1999. ISBN 80-210-2201-9.
  • Halmos, P. R. Naive set theory, Springer Berlin, 1974.
  • VOPĚNKA, P. Vyprávění o kráse novobarokní matematiky. Práh, Praha, 2004.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Mathematics (double subject) (A14) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer