English

Derived completions in stable homotopy theory

Algebraic Topology 2007-07-18 v1 Commutative Algebra

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.

Keywords

Cite

@article{arxiv.0707.2585,
  title  = {Derived completions in stable homotopy theory},
  author = {Gunnar Carlsson},
  journal= {arXiv preprint arXiv:0707.2585},
  year   = {2007}
}

Comments

33 pages

R2 v1 2026-06-21T08:59:12.272Z