PARTITION COMPLEXES AND TREES

被引：1

作者：

Heuts, Gijs ^{[1
]}

Moerdijk, Ieke ^{[1
]}

机构：

[1] Univ Utrecht, Math Inst, Utrecht, Netherlands

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 06期

基金：

欧洲研究理事会;

关键词：

KOSZUL DUALITY; OPERADS; MODEL;

D O I：

10.1090/proc/16300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a functor from the partition complex of a finite set A to a category of trees with leaves labelled by A and prove that it is homotopy initial. This construction and our proof are elementary and require very few preliminaries, but imply an equivalence between different bar constructions of an operad in great generality.

引用

页码：2723 / 2732

页数：10

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