J. May

MODEL CATEGORIES OF DIAGRAM SPECTRA

Working in the category

Derived functors of I-adic completion and local homology

\mathcal{T}

THE UNIQUENESS OF INFINITE LOOP SPACE MACHINES

of based spaces, we give the basic theory of diagram spaces and diagram spectra. These are functors

Pairings of categories and spectra

\mathcal{D}\longrightarrow \mathcal{T}

LOCALIZATION AND COMPLETION THEOREMS FOR MU-MODULE SPECTRA

for a suitable small topological category

Multiplicative infinite loop space theory

\mathcal{D}

Algebras over equivariant sphere spectra

. When

A generalization of the segal conjecture

\mathcal{D}

James maps, Segal maps, and the Kahn-Priddy theorem

is symmetric monoidal, there is a smash product that gives the category of

A GENERALIZATION OF THE ATIYAH-SEGAL COMPLETION THEOREM

\mathcal{D}