Algebraic Topology II (V4D2), Summer term 2019

Lecture course, Mondays 14:15 -- 16:00 and Wednesdays 8:30-10:00, Kleiner Hörsaal (Wegelerstr. 10)

Stefan Schwede
Endenicher Allee 60, room 4.008
Email : schwede (at)

Benjamin Böhme
Endenicher Allee 60, room 4.006
Email : boehme (at)


Stable homotopy theory: orthogonal spectra, stable homotopy groups, stable homotopy category, triangulated structure, derived smash product, examples of spectra and cohomology theories

Text books:
- J. F. Adams, Stable homotopy and generalised homology. Reprint of the 1974 original. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1995. x+373 pp.
- R. M. Switzer, Algebraic topology - Homology and homotopy. Reprint of the 1975 original. Classics in Mathematics. Springer-Verlag, Berlin, 2002. xiv+526 pp.
- S. Schwede, Symmetric spectra, book project, download here


Preresquisites for this class are the contents of the classes Topology 1-2 and Algebraic Topology 1.


Weekly exercise sheets will be posted on this webpage every monday; the solutions are due one week later. The exercise sessions take place Thursdays 8-10 in seminar room 0.011.


The oral exam takes place July 10, 2019. The second exam takes place September 25, 2019.

S. Schwede, 24.06.2019