MTH251 Basic Concepts in Mathematics III
(General Topology)
Since 2022 Winter
1 Lecture class + 2 Exercise classes
Lecture Notes and Exercise Problems [PDF, 61 pages, updated 2024.11.24.]
Lecture Videos available at ICU Moodle Website
Contents
Week 1 Open sets in R^n
Week 2 Topological Spaces
Week 3 Subspaces and Continuous Maps
Week 4 Quotient spaces and homeomorphisms
Week 5 Convergent sequence of points and sequentially continuous maps
Week 6 Hausdorff spaces and separation axioms
Week 7 Compact spaces and max/min theorem
Week 8 Connected and path-connected Spaces
Week 9 Fundamental groups and classification of closed surfaces