An equivalence of profinite completions

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2022-07-06 DOI:10.1007/s40062-022-00308-9

Chang-Yeon Chough

引用次数: 0

Abstract

The goal of this paper is to establish an equivalence of profinite completions of pro-spaces in model category theory and in \(\infty \)-category theory. As an application, we show that the author’s comparison theorem for algebro-geometric objects in the setting of model categories recovers that of David Carchedi in the setting of \(\infty \)-categories.

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无限完井的等价

本文的目的是建立模型范畴论和\(\infty \) -范畴论中亲空间的无限补全的等价。作为一个应用，我们证明了作者的代数几何对象在模型类别设置下的比较定理恢复了David Carchedi在\(\infty \) -categories设置下的比较定理。

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

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.