MATH5070 - Topology of Manifolds - 2015/16

Course Name: 
Course Year: 


  • Course schedule [Download file]
  • The first lecture will start at 7PM on 09/09/2015.
  • Final project topics [Download file]
  • The lecture time is changed to 7:15-9:45PM from 16/09/2015.
  • No lecture on September 30.

General Information


  • Zhongtao WU
    • Office: LSB 235
    • Tel: 3943 8578
    • Email:

Time and Venue

  • Lecture: We 7:15pm - 9:45pm, Yasumoto Int'l Acad Park 510

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.


  • Foundations of Differentiable Manifolds and Lie Groups, by Frank Warner
  • Topology from the Differentiable Viewpoint, by John Milnor
  • Differential Topology, by Victor Guillemin and Alan Pollack


Assessment Scheme

Homework  50%
Final Project 50%

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: November 12, 2015 14:05:19