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augmented infinity-group

Contents

Idea

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

References

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 HH\mathbb{Z} appears in

  • Gregory Arone, Kathryn Lesh, Augmented Γ\Gamma-spaces, the stable rank filtration, and a bub 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.