paper

Derived completions in stable homotopy theory

arXiv:0707.2585

Abstract

We construct a notion of derived completion which applies to homomorphisms of commutative S-algebras. We study the relationship of the construction with other constructions of completions, and prove various invariance properties. The construction is expected to have applications within algebraic K-theory.

33 pages

Derived completions in stable homotopy theory · wovepaper