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