Readership

Graduate students and research mathematicians working in algebraic topology and \(K\)-theory.

Table of Contents

• Introduction
• Basic definitions
• \(E\) theory
• \(K\)-injective spectra
• Generalised Moore spectra
• Bousfield classes
• The \(E(n)\)-local category
• General properties of the \(K(n)\)-local category
• Smallness and duality
• Homology and cohomology functors
• Brown-Comenetz duality
• The natural topology
• Dualisable spectra
• \(K\)-nilpotent spectra
• Grading over the Picard group
• Examples
• Questions and conjectures
• Completion
• Small objects in other categories
• References
• Index