An equivalence of profinite completions

被引：0
|
作者：
Chough, Chang-Yeon [1 ]
机构：
[1] Seoul Natl Univ, Ctr Quantum Struct Modules & Spaces, Seoul 08826, South Korea
来源：
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES | 2022年 / 17卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Profinite completion; Model category; Infinity category; Algebraic stack; Pro-space; MODEL STRUCTURE; HOMOTOPY; CATEGORIES;
D O I：
10.1007/s40062-022-00308-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to establish an equivalence of profinite completions of pro-spaces in model category theory and in infinity-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 infinity-categories.
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页码：297 / 307
页数：11
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