Introduction to Topology

Department: 
MATH
Course Number: 
4431
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every fall semester

Point set topology, topological spaces and metric spaces, continuity and compactness, homotopy and covering spaces

Prerequisites: 

MATH 4317

Course Text: 

At the level of Introduction to General Topology, by George L. Cain

Topic Outline: 
  • Set Theory
  • Pseudometric spaces
  • Topological spaces
  • Continuous functions
  • Connected spaces
  • Compact spaces
  • Product spaces
  • Sequences
  • Complete pseudometric spaces
  • Euclidean spaces
  • Quotient spaces
  • Hyperspaces and multifunctions
  • Other topics of interest