Foundations of Stable Homotopy Theory

ISBN-13: 9781108482783 / Angielski / Twarda / 2020 / 430 str.

David Barnes; Constanze Roitzheim

Opis

A comprehensive introduction to stable homotopy theory for beginning graduate students, from motivating phenomena to current research.

Recenzje

'Especially as it seems to be very carefully written, I expect that it will become a standard textbook in the field.' Julie Bergner, zbMATH

Spis treści

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.