M006 Set Theory II

Faculty of Informatics
Spring 1998
Extent and Intensity
2/0. 2 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Josef Niederle, CSc. (lecturer)
prof. RNDr. Jiří Rosický, DrSc. (lecturer)
Guaranteed by
Contact Person: prof. RNDr. Jiří Rosický, DrSc.
Prerequisites
Prerequisites M005 Foundations of mathematics
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Complete lattices: distributive lattice, directed set, complete posets, compact elements, algebraic lattice
  • Cardinal numbers: cardinal number, ordering of cardinal numbers, Cantor--Bernstein theorem, operations with cardinal numbers
  • Well-ordered sets: well-ordered set, transfinite induction, operations with well-ordered sets
  • Ordinal numbers: ordinal number, ordering of ordinal numbers, ordinal arithmetic, countable ordinal numbers
  • Axiom of choice: axiom of choice, well-ordering principle, maximality principle
Language of instruction
Czech
The course is also listed under the following terms Spring 1996, Spring 1997, Spring 1999, Spring 2000, Spring 2001, Spring 2002.
  • Enrolment Statistics (Spring 1998, recent)
  • Permalink: https://is.muni.cz/course/fi/spring1998/M006