We will introduce and study the stable homotopy category via orthogonal spectra. Classical applications to geometric topology and computations will be outlined. Towards the end of the lecture we will investigate equivariant stable homotopy theory. 

Knowledge of basic concepts from (unstable) homotopy theory will be assumed.


Lecture notes on equivariant stable homotopy theory, Stefan Schwede
Preprint 2016, available on

Homotopy and homology, Robert M. Switzer
Springer 1975, Reprint 2002