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.

引用

页码：297 / 307

页数：11

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