Functor calculus completions for retractive operadic algebras in spectra
Algebraic Topology
2024-07-03 v1
Abstract
The aim of this paper is to study convergence of Bousfield-Kan completions with respect to the 1-excisive approximation of the identity functor and exotic convergence of the Taylor tower of the identity functor, for algebras over operads in spectra centered away from the null object. In Goodwillie's homotopy functor calculus, being centered away from the null object amounts to doing homotopy theory and functor calculus in the retractive setting.
Cite
@article{arxiv.2407.01819,
title = {Functor calculus completions for retractive operadic algebras in spectra},
author = {Matthew B. Carr and John E. Harper},
journal= {arXiv preprint arXiv:2407.01819},
year = {2024}
}