9 citations · 14 across the 2 of their papers we have counts for
5 papers · 1 filter
HZ-algebra spectra are differential graded algebras
Brooke Shipley
We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences between the Qui…
An algebraic model for rational S^1-equivariant stable homotopy theory
Brooke Shipley
Greenlees defined an abelian category A whose derived category is equivalent to the rational S^1-equivariant stable homotopy category whose objects represent rational S^1-equivaria…
Monoidal uniqueness theorems for stable homotopy theory
Brooke Shipley
We show that the monoidal product on the stable homotopy category of spectra is essentially unique. This strengthens work of this author with Schwede on the uniqueness of models of…
Symmetric spectra
Mark Hovey, Brooke Shipley, Jeff Smith
The long hunt for a symmetric monoidal category of spectra finally ended in success with the simultaneous discovery of the third author's discovery of symmetric spectra and the Elm…
Symmetric ring spectra and topological Hochschild homology
Brooke Shipley
Symmetric spectra were introduced by Jeff Smith as a symmetric monoidal category of spectra. In this paper, a detection functor is defined which detects stable equivalences of symm…