Mathematics 329 - Topics in Geometry & Topology

This is an introduction to point-set topology (also referred to as general topology). Point-set topology is one branch of the much broader area, topology. It is concerned with the study of properties of abstract topological spaces and structures related to such spaces. The material covered in this course will provide the common foundation for courses in algebraic topology, geometric topology, and differential topology. The core topics to be studied include: basic set theory, various interesting topologies, continuous functions, connectedness and compactness, separation axioms, countability axioms, nets and filters.

Prereq: Mathematics 203 and one of following: Mathematics 211 or 251