In the mathematical discipline of topology, the Brown–Gitler spectrum is a spectrum whose cohomology is a certain cyclic module over the Steenrod algebra.
[1] Brown–Gitler spectra are defined by the isomorphism:[2] The concept was introduced by mathematicians Edgar H. Brown and Samuel Gitler in a 1973 paper.
[1][3] In topology, Brown–Gitler spectrum is related to the concepts of the Segal conjecture (proven in 1984) and the Burnside ring.
[4] Brown–Gitler spectra have had many important applications in homotopy theory.
[5]