MATH5070 - Topology of Manifolds - 2019/20

General Information

Lecturer

• Zhongtao WU
  • Office: LSB 216
  • Tel: 3943-8578
  • Email:

Time and Venue

• Lecture: We 2:30PM - 5:15PM, Lady Shaw Bldg 222

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.

References

• 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

Assignments

• Homework 1, due Sept. 18
• Homework 2, due Oct. 2
• Homework 3, due Oct. 16
• Homework 4, due Oct. 30
• Homework 5, due Nov. 13

Solutions

• Solution 1
• Solution 2
• Solution 3
• Solution 4
• Solution 5

Assessment Scheme

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.