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MAT 542: Algebraic Topology II
Course Instructor: Mark McLean
Tuesday, Thursday 10-11:20am in Earth & Space 177
In this course, we will look at higher homotopy groups and stable homotopy groups and some elementary methods of calculation. We will also look at spectra and the connection between homotopy groups and (co)homology (we will cover this rather quickly due to the fact that much of this was covered in Algebraic Topology I). After that we will focus on rational homotopy theory.
Initially we will be following the last half of Chapter 4 of the book
Later, we will focus on the contents of the book
Hatcher A. Algebraic topology. 2002. Cambridge UP, Cambridge. 2002;606(9).
Griffiths P, Morgan JW, Morgan JW. Rational homotopy theory and differential forms. Boston: Birkhäuser; 1981.
Tuesday 1-2pm, Wednesday 11am-12pm (Math 4-144).
You can also email me for an appointment or speak with me at tea (if I am there).
You grade will be based on class participation (class/office hours discussion) and also on written homework.
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