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MAT 541: Algebraic Topology I

Course Instructor: Mark McLean

Monday, Wednesday 2:30pm-3:50pm in Physics P122.

In this course, we will attempt to cover simplicial/CW complexes, simplicial homology, singular (co)homology, (co)homology of CW complexes, Eilenberg-Steenrod axioms, the Künneth theorem and Poincaré duality.

We will be following the book Elements of Algebraic Topology, James R. Munkres.

Office Hours: Tuesday 1-2pm, Wednesday 12-1pm (Math 4-101B). You can also email me for an appointment or speak with me at tea (if I am there).

Grading

You grade will be based on class participation (class/office hours discussion) and also on written homework. You may hand in solutions to at most two homework problems every two weeks (just slide the homework under my office door MAT 4-101b).

Homework.

Part 1

Part 2

Part 3

Part 4


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