MATH 440 - Topology

3 Credit(s)

This course is an introduction to the theory of point-set topology. The main components of the course will be topological spaces, including product and quotient spaces, continuous functions, local and global connectedness, local and global compactness, countability, separability, and the Tychonoff axioms. The culmination of the course will be in the Tietze extension theorem, Uryson’s Lemma, and Uryson’s Metrization theorem. Further study into Tychonoff axioms and spaces and the Tychonoff theorem will be done, time permitting.

Prerequisite(s):
MATH 250 Minimum Grade: C- OR T