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
- Topological Surfaces
- Simplicial Surfaces
- Topological Invariants
- Simplicial Homology[corrected version]
- Simplicial Approximation (updated!)
Exercises
- Topological Surfaces,
[Solutions]
Klein Bottle papercraft - Simplicial Surfaces [Solutions] week 3: 2.1 and 2.2. week 4: 2.3, 2.4, 2.5
- Topological Invariants of Surfaces [Solutions] week 7: 3.1, 3.4, 3.5
- Simplicial Complexes [Solutions] week 8: 4.3, 4.5
- Simplicial Homology [Solutions] week 9: 5.1, 5.3, 5.4
- 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 2017/18Past papers: 2013/14 [Solutions], 2014/15 [Solutions] , 2015/16 [Solutions], 2016/17 + solutions