Homotopy theory of monoids and derived localization

IF 0.5 4区数学 Journal of Homotopy and Related Structures Pub Date : 2021-03-03 DOI:10.1007/s40062-021-00276-6

Joe Chuang, Julian Holstein, Andrey Lazarev

引用次数: 7

Abstract

We use derived localization of the bar and nerve constructions to provide simple proofs of a number of results in algebraic topology, both known and new. This includes a recent generalization of Adams’s cobar-construction to the non-simply connected case, and a new algebraic model for the homotopy theory of connected topological spaces as an \(\infty \)-category of discrete monoids.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

一元群的同伦理论及其衍生的局部化

我们使用杆和神经结构的衍生定位来提供一些代数拓扑结果的简单证明，包括已知的和新的。这包括最近对Adams的cobar构造在非单连通情况下的推广，以及作为离散一元群的\(\infty \) -范畴的连通拓扑空间的同伦理论的一个新的代数模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

自引率

0.00%

发文量

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.

期刊最新文献

The derived Brauer map via twisted sheaves Eilenberg–Maclane spaces and stabilisation in homotopy type theory Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1 Goodwillie’s cosimplicial model for the space of long knots and its applications Centralisers, complex reflection groups and actions in the Weyl group \(E_6\)