A nilpotent Whitehead theorem for TQ-homology of structured ring spectra
Algebraic Topology
2018-10-15 v2
Abstract
The aim of this short paper is to prove a TQ-Whitehead theorem for nilpotent structured ring spectra. We work in the framework of symmetric spectra and algebras over operads in modules over a commutative ring spectrum. Our main result can be thought of as a TQ-homology analog for structured ring spectra of Dror's generalized Whitehead theorem for topological spaces; here TQ-homology is short for topological Quillen homology. We also prove retract theorems for the TQ-completion and homotopy completion of nilpotent structured ring spectra.
Keywords
Cite
@article{arxiv.1806.09901,
title = {A nilpotent Whitehead theorem for TQ-homology of structured ring spectra},
author = {Michael Ching and John E. Harper},
journal= {arXiv preprint arXiv:1806.09901},
year = {2018}
}
Comments
10 pages, final preprint version