Set Theory - SET

Instructor: Dr. Lajos SOUKUP

Text: The course is based on printed handouts distributed in class.

Prerequisite: Some familiarity with "higher" mathematics. No specific knowledge is expected.

Course description:
This course is designed as an introduction to Axiomatic Set Theory.

Course outline
Logic in nutshell
The first axioms. Relations and functions
Natural numbers and ordinal numbers.
Replacement Axiom. Transfinite Induction and Transfinite Recursion
Arithmetic of natural and ordinal numbers.
Axiom of Choice. Zorn Lemma. Well-ordering Theorem.
Cardinalities. Equinumerosity. Cardinal arithmetic. Cofinality
Applications in algebra, analysis, combinatorics and geometry
Learning Outcomes
After successfully completing the course, the student should be able to:
Herbert B. Enderton, Elements of Set Theory

Homepage of the course: