An introduction to the category of spectra

TL;DR

This paper provides an introductory overview of the category of spectra in stable homotopy theory, highlighting key examples and their interesting properties.

Contribution

It offers a foundational introduction to spectra and discusses numerous examples with notable properties, aiding understanding in stable homotopy theory.

Findings

Extensive list of spectra examples with interesting properties

Clarification of the role of spectra in stable homotopy theory

Foundational insights for further research in the field

Abstract

These notes give a brief introduction to the category of spectra as defined in stable homotopy theory. In particular, Section 5 discusses an extensive list of examples of spectra whose properties have been found to be interesting.