Subjects(version: 944)
Course, academic year 2023/2024
Introduction to Set Theory - NLTM030
Title: Úvod do teorie množin Department of Theoretical Computer Science and Mathematical Logic (32-KTIML) Faculty of Mathematics and Physics from 2022 winter 6 winter s.:2/2, C+Ex [HT] unlimited unlimited no no cancelled Czech full-time full-time
Guarantor: doc. RNDr. Josef Mlček, CSc. Informatics > Theoretical Computer Science NAIL063 NAIL003, NAIL063 NAIL003
 Annotation - ---CzechEnglish
Last update: T_KTI (13.05.2003)
A basic course of axiomatic set theory, including an introduction to extended set theory. Several widely applicable mathematical methods and conceptions are presented.
 Aim of the course - ---CzechEnglish
Last update: RNDr. Jan Hric (07.06.2019)

To learn fundamentals of set theory

 Course completion requirements - ---CzechEnglish
Last update: RNDr. Jan Hric (07.06.2019)

Oral exam

 Literature - Czech
Last update: G_I (18.05.2004)

B. Balcar, P. Štěpánek : Teorie množin; Academia Praha, 1986

 Syllabus - ---CzechEnglish
Last update: T_KTI (13.05.2003)

Axioms. Basic operations with sets. Relations, functions. Orderings, equivalences, structures. Natural and ordinal numbers: induction, recursion, ordinal arithmetic. Axiom of choice: equivalent formulas, applications. Cardinal numbers: cardinality, cardinal arithmetic. Transfinite combinatorics: Ramsey's theorems, independent systems. Extended set theory: axioms, nonstandard methods. Applications.

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