当前位置:
X-MOL 学术
›
J. Homotopy Relat. Struct.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Homotopy theory of monoids and derived localization
Journal of Homotopy and Related Structures ( IF 0.7 ) Pub Date : 2021-03-03 , DOI: 10.1007/s40062-021-00276-6 Joe Chuang , Julian Holstein , Andrey Lazarev
中文翻译:
id半同伦的同伦理论和衍生的局部化
更新日期:2021-03-04
Journal of Homotopy and Related Structures ( IF 0.7 ) Pub Date : 2021-03-03 , DOI: 10.1007/s40062-021-00276-6 Joe Chuang , Julian Holstein , Andrey Lazarev
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.
中文翻译:
id半同伦的同伦理论和衍生的局部化
我们使用杆和神经结构的派生定位来提供已知和新的代数拓扑中的许多结果的简单证明。这包括将Adams的cobar构造最近推广到非简单连通的情况,以及将连通拓扑空间的同构理论作为\(\ infty \) -离散半分体的类别的新代数模型。