SoSe 24: Algebraic Topology II

Lectures: Tuesday 10-12 and Thursday 10-12 in M104
Exercises: Friday 12-14 in M101

GRIPS Seite

This course is an introduction to the homotopy theory of topological spaces. We will study in particular higher homotopy groups of topological spaces, establishing the foundational theorems of Whitehead, Hurewicz and Blakers–Massey. We will also study classifying spaces via Brown’s representability theorem, and introduce spectral sequences via the key example of the Serre spectral sequence of a fibration.

Exercises

• Sheet 1 (due 03.05)
• Sheet 2 (due 17.05)
• Sheet 3 (due 31.05)
• Sheet 4 (due 14.06)
• Sheet 5 (due 28.06)
• Sheet 6 (due 12.07)

References

• T. tom Dieck, Algebraic Topology, 2008
• A. Hatcher, Algebraic Topology, 2001
• H. Miller, Lectures on Algebraic Topology