Brown–Gitler spectrum


In topology, a discipline within mathematics, the Brown–Gitler spectrum is a spectrum whose cohomology is a certain cyclic module over the Steenrod algebra.
Brown–Gitler spectra are defined by the isomorphism:

History

The concept was introduced by mathematicians Edgar H. Brown and Samuel Gitler in a 1973 paper.
In topology, Brown–Gitler spectrum is related to the concepts of Segal conjecture and Burnside ring.

Applications

Brown–Gitler spectra have had many important applications in homotopy theory.