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Introduction to Stable homotopy theory -- 1

Contents


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



Contents

Part 1) Stable homotopy theory

1.1) Sequential spectra

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see Introduction to Stable homotopy theory – 1-1

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1.2) Structured spectra

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see Introduction to Stable homotopy theory – 1-2

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