Algebraic Topology (MATH41071/MATH61071)

• Tuesday 9:00-11:00, Simon Building 4.50
• Friday 9:00-10:00, Humanities Bridgeford Street St Hanson Room and
  Friday 12:00-13:00, Alan Turing Building G.107

Background material

• Topology
• Online material for Topology
• Abelian Groups
• Notes by Zeeman on the classification theorem, including many illuminating pictures
• More material on the classification theorem collected by Andrew Ranicki, including a version of the proof of the existence of a triangulation by Thomassen.

Lecture notes

1. Topological Surfaces
2. Simplicial Surfaces
3. Topological Invariants
4. Simplicial Homology[corrected version]
5. Simplicial Approximation (updated!)

Exercises

1. Topological Surfaces, [Solutions]
   Klein Bottle papercraft
2. Simplicial Surfaces [Solutions]
   week 3: 2.1 and 2.2.
   week 4: 2.3, 2.4, 2.5
3. Topological Invariants of Surfaces [Solutions]
   week 7: 3.1, 3.4, 3.5
4. Simplicial Complexes [Solutions]
   week 8: 4.3, 4.5
5. Simplicial Homology [Solutions]
   week 9: 5.1, 5.3, 5.4
6. Homotopy and simplicial approximation [Solutions]
   week 10: 6.1, 6.3, 6.4(b),

Assessment

Self-assessment

Please use the self-assessment tests on the Blackboard pages.

Coursework

The coursework is available now [Solutions + feedback]. It is due until Friday 17 November. It can be handed in until 15:00 at the Reception of the Teaching and Learning office or at my office 1.106a or via email until 23:59 on the same day.

Examination

15 January, 14:00, Stopford Theatre 2 , Solutions and Feedback 2017/18

Past papers: 2013/14 [Solutions], 2014/15 [Solutions] , 2015/16 [Solutions], 2016/17 + solutions