Foundations of Stable Homotopy Theory

David Barnes is Senior Lecturer in Mathematics at Queen's University Belfast. His work focuses on stable homotopy theory, usually with either a monoidal or equivariant flavour, often using algebra to describe the structures in question. Constanze Roitzheim is Senior Lecturer in Mathematics at the University of Kent, Canterbury. Her work focuses on localisations of the stable homotopy category and related questions in algebra.

• Introduction; 1. Basics of stable homotopy theory; 2. Sequential spectra and the stable homotopy category; 3. The suspension and loop functors; 4. Triangulated categories; 5. Modern categories of spectra; 6. Monoidal structures; 7. Left Bousfield localisation; Appendix. Model categories; References; Index.

'The authors have made great efforts to ensure that the book is accessible to those who are not already experts in the area. The topics have been carefully chosen, and the exposition includes not just the technical details but also provides historical and motivational context for many of the important ideas.' Dan Isaksen, MAA Reviews