An ∞-group equipped with a map to a fixed base ∞-group, such as that underlying the sphere spectrum or an Eilenberg-MacLane spectrum.

Discussion of ∞-groups of units of E-∞ rings as abelian ∞-groups augmented over the sphere spectrum is in

- Steffen Sagave,
*Spectra of units for periodic ring spectra*(arXiv:1111.6731)

Augmentation over the Eilenberg-MacLane spectrum $H\mathbb{Z}$ appears in

- Gregory Arone, Kathryn Lesh,
*Augmented $\Gamma$-spaces, the stable rank filtration, and a $b u$-analogue of the Whitehead conjecture*(pdf)

Last revised on August 2, 2013 at 17:37:57. See the history of this page for a list of all contributions to it.