Algebraic Topology 2

The course builds on the course MA3403 Algebraic Topology 1. It introduces the basic homotopy theory of spaces (fibrations and cofibrations, homotopy groups) and covers further classical topics in algebraic topology, such as: spectral sequences (in particular the Serre spectral sequence), vector bundles and characteristic classes, cohomology operations.

1. Knowledge. The student can give the definitions of the key concepts, state and prove the main theorems, and work out key examples from the topic covered in the course.

2. Skills. The student has an overall understanding of algebraic topology and the homotopy theory of spaces. They can formulate and solve problems and carry out simple calculations using the methods of the course.

The learning methods and activities depend on the course teacher. The course will be given in autumn in years of even numbers.