Goerss–Hopkins obstruction theory for ∞-categories

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-18 DOI:10.1016/j.aim.2024.109951

Aaron Mazel-Gee

引用次数: 0

Abstract

Goerss–Hopkins obstruction theory is a powerful tool for constructing structured ring spectra from purely algebraic data. Using the formalism of model ∞-categories, we provide a generalization that applies in an arbitrary presentably symmetric monoidal stable ∞-category (such as that of equivariant spectra or of motivic spectra).

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∞类的戈尔斯-霍普金斯阻塞理论

戈尔斯-霍普金斯阻塞理论是从纯代数数据构建结构化环谱的有力工具。利用模型∞范畴的形式主义，我们提供了一种适用于任意现对称单稳态∞范畴（如等变谱或动机谱范畴）的广义方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.