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 …

In this short paper we apply some recent techniques developed by Schonsheck, and
subsequently Carr-Harper, in the context of operadic algebras in spectra--on convergence of …

We study functors from spaces to spaces or spectra that preserve weak homotopy
equivalences. For each such functor we construct a universal n–excisive approximation …

The goal of this short paper is to study the convergence of the Taylor tower of the identity
functor in the context of operadic algebras in spectra. Specifically, we show that if A is a (-1) …

The main purpose of this paper is to apply the theory developed in [26] to the specific case of
functors between categories of the form AlgO. Section 1 introduces the basic necessary …

Goodwillie's homotopy functor calculus constructs a Taylor tower of approximations to F,
often a functor from spaces to spaces. Weiss's orthogonal calculus provides a Taylor tower …

In this paper, we show that for reduced homotopy endofunctors of spaces, F, and for all $
n\geq 1$ there are adjoint functors $ R_n, L_n $ with $ T_n F\simeq R_n F L_n $, where …

We study functors $ F:\mathcal {C} _f\rightarrow\mathcal {D} $ where $\mathcal {C} $ and
$\mathcal {D} $ are simplicial model categories and $\mathcal {C} _f $ is the category …

We study the structure possessed by the Goodwillie derivatives of a pointed homotopy
functor of based topological spaces. These derivatives naturally form a bimodule over the …

We prove a thick subcategory theorem for the category of $ d $-excisive functors from finite
spectra to spectra. This generalizes the Hopkins-Smith thick subcategory theorem (the $ d …