微分分级代数的余三元组解消
代数拓扑
2017-03-20 v2
摘要
我们考虑微分分级模上算子代数的余三元组解消。更具体地说,我们聚焦于微分分级 Barratt-Eccles 算子代数的代数以及交换代数的例子。我们证明了余三元组解消的几何实现(在模型范畴的意义下)给出了这些微分分级代数范畴上的 cofibrant 解消函子。
引用
@article{arxiv.1503.08489,
title = {The cotriple resolution of differential graded algebras},
author = {Benoit Fresse},
journal= {arXiv preprint arXiv:1503.08489},
year = {2017}
}
备注
15 pages. Order of {\S}3 and {\S}4 switched. Minor amendments and a few remarks added. To appear in Proc. Amer. Math. Soc