Deformations of homotopy theories via algebraic theories

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-08-28 DOI:10.1016/j.aim.2025.110496

William Balderrama

引用次数: 0

Abstract

We develop a homotopical variant of the classic notion of an algebraic theory as a tool for producing deformations of homotopy theories. From this, we extract a framework for constructing and reasoning with obstruction theories and spectral sequences that compute homotopical data starting with purely algebraic data.

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通过代数理论的同伦理论的变形

我们发展了一个代数理论的经典概念的同伦变体，作为产生同伦理论变形的工具。在此基础上，我们提取了一个用障碍理论和谱序列构造和推理的框架，该框架从纯代数数据开始计算同调数据。

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

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.