25 citations · 49 across the 2 of their papers we have counts for
6 papers
Modules in Monoidal Model Categories
L. Gaunce Lewis, Michael A. Mandell
This paper studies the existence of and compatibility between derived change of ring, balanced product, and function module derived functors on module categories in monoidal model…
The localization sequence for the algebraic K-theory of topological K-theory
Andrew J. Blumberg, Michael A. Mandell
We prove a conjecture of Rognes by establishing a localization cofiber sequence of spectra, K(Z) to K(ku) to K(KU) to Sigma K(Z), for the algebraic K-theory of topological K-theory…
Equivariant Universal Coefficient and Kunneth Spectral Sequences
L. Gaunce Lewis, Michael A. Mandell
We construct hyper-homology spectral sequences of Z-graded and ROG-graded Mackey functors for Ext and Tor over G-equivariant S-algebras (A-infty ring spectra) for finite groups G.…
Homology and Cohomology of E-infinity Ring Spectra
Maria Basterra, Michael A. Mandell
Every homology or cohomology theory on a category of E-infinity ring spectra is Topological Andre-Quillen homology or cohomology with appropriate coefficients. Analogous results ho…
Rings, modules, and algebras in infinite loop space theory
A. D. Elmendorf, M. A. Mandell
We give a new construction of the algebraic -theory of small permutative categories that preserves multiplicative structure, and therefore allows us to give a unified treatment…
Cochains and Homotopy Type
Michael A. Mandell
Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E-infinity algebras. The cochain functor from the homotopy categor…