General Information


Teaching Assistant

Time and Venue

Course Description

Official (University) Course Description: This course is an introduction to several basic topological invariants for manifolds. Major topics are: differentiable manifolds and maps, Sard's Theorem, degree of maps, fundamental group, covering space, homology group. Students taking this course are expected to have knowledge in elementary analysis.

Prof. Lee's addendum: I plan to skip most of the algebro-topological topics in the preceding description (fundamental group, ..., homology group), as you would probably have learned it elsewhere (e.g. HKUST's course on Algebraic Topology in the spring). Instead I plan to cover some of the following: Whitney's theorem, vector bundles and tubular neighborhoods, Morse theory, Thom-Pontryagin construction, Thom's theorem on cobordisms.


Lecture Notes

Quizzes and Exams


Assessment Scheme

Take-home midterm exam 30%
Pop quizzes  10%
Projects (presentation) 30%
Final exam 30%

Useful Links

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Last updated: July 27, 2015 16:37:36