MATH5070 - Topology of Manifolds - 2020/21

Course Name: 
Course Year: 
2020/21
Term: 
1

Announcement

  • Meeting ID: 920 2292 5745
  • Syllabus [Download file]
  • Final project topics [Download file]
  • Please submit your homework through "blackboard"

General Information

Lecturer

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

Time and Venue

  • Lecture: We 2:30-5:15, Zoom

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

Lecture Notes


Assignments


Solutions


Assessment Scheme

Homework  50%
Final Project  50%


Assessment Policy

Last updated: November 24, 2020 13:14:54