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| M.S. Topology Syllabus |
- Point-Set Topology
- Set theory, topological spaces, compactness, connectedness, separation properties, quotient spaces, Tychonoff Theorem, compactification, Urysohn Lemma and Tietze Extension Theorem, function spaces
- Differential Topology
- Smooth manifolds, transversality, Sard Theorem, matrix Lie groups, vector fields, Poincare-Hopf Theorem, differential forms, integration on manifolds, Stokes Theorem
| Past Exams |
Below are some MS Preliminary exams from previous years. They should give you an idea of the range of topics covered by the exams.
June 2007
August 2007June 2008
August 2008June 2009
August 2009June 2010
| References |
Lin and Lin: Set Theory
J.R. Munkres: Topology
Dugundji: Topology
V. Guillemin, A. Pollack: Differential Topology
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