**Abstract** *We give an introduction to the stable homotopy category and to its key computational tool, the Adams spectral sequence. To that end we introduce the modern tools, such as model categories and highly structured ring spectra. In the accompanying seminar we consider applications to cobordism theory and complex oriented cohomology such as to converge in the end to a glimpse of the modern picture of chromatic homotopy theory.*

Lecture notes.

Main page: *Introduction to Stable homotopy theory*.

Previous section: *Prelude – Classical homotopy theory*

This section: **Part 1 – Stable homotopy theory**

Next section: *Part 2 – Adams spectral sequences*

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see *Introduction to Stable homotopy theory – 1-1*

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see *Introduction to Stable homotopy theory – 1-2*

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Last revised on December 22, 2016 at 08:07:52. See the history of this page for a list of all contributions to it.