MATH 446 (Axiomatic Set Theory)
| DESCRIPTION |
This course provides an introduction to modern set theory.
There is
an emphasis on techniques that are applicable to other areas of
mathematics.
Whenever possible, examples from algebra and number theory are
presented,
however students are not required to have any specific knowledge of
these
subjects. |
| PREREQUISITES |
Math 403 or Math 410 or consent of the instructor. |
| TOPICS |
Zermelo-Fraenkel axioms, partially ordered sets, Zorn's
lemma, equivalents
of the axiom of choice, ordinal and cardinal arithmetic, filters,
trees,
König's lemma, well-founded relations and transfinite induction.
|
| TEXT |
Text(s)
typically used in this course. |
|
