nLab stable homotopy theory - contents

stable homotopy theory

• homological algebra, higher algebra

Introduction

Ingredients

• homotopy theory

Contents

• loop space object

• suspension object

• looping and delooping

• stable (∞,1)-category

  • stabilization

    • spectrum object

  • stable derivator

  • triangulated category

• stable (∞,1)-category of spectra

  • spectrum

  • stable homotopy category

• smash product of spectra

  • symmetric smash product of spectra

  • Spanier-Whitehead duality

  • A-∞ ring

  • E-∞ ring

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