谱中可缩回操作数代数的矢量微积分补全

arXiv - MATH - Algebraic Topology Pub Date : 2024-07-01 DOI:arxiv-2407.01819

Matthew B. Carr, John E. Harper

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引用次数: 0

摘要

本文的目的是研究布斯菲尔德-坎完备性的收敛性与同调函子的 1- 精近似以及同调函子泰勒塔的奇异收敛性，适用于以远离空对象为中心的谱中的overoperads代数。在古德威利的同调函子微积分中，远离空对象居中相当于在缩回环境中做同调理论和函子微积分。

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Functor calculus completions for retractive operadic algebras in spectra

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.

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arXiv - MATH - Algebraic Topology

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