The beginning graduate student in homotopy theory is confronted
with a vast literature on spectra that is scattered across books,
articles and decades. There is much folklore but very few easy
entry points. This comprehensive introduction to stable homotopy
theory changes that. It presents the foundations of the subject
together in one place for the first time, from the motivating
phenomena to the modern theory, at a level suitable for those with
only a first course in algebraic topology. Starting from stable
homotopy groups and (co)homology theories, the authors study the
most important categories of spectra and the stable homotopy
category, before moving on to computational aspects and more
advanced topics such as monoidal structures, localisations and
chromatic homotopy theory. The appendix containing essential facts
on model categories, the numerous examples and the suggestions for
further reading make this a friendly introduction to an often
daunting subject.
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