迹范畴的余单子上同调
代数拓扑
2019-04-16 v3 范畴论
摘要
我们定义了迹范畴的余单子上同调，并证明其通过长正合序列与 Dwyer-Kan-Smith 上同调相联系。在迹范畴的温和假设下，我们证明其余单子上同调在维数平移下与 Dwyer-Kan-Smith 上同调一致，从而获得了后者的代数表述。我们还将结果专门应用于迹范畴为 -群胚的情形。
引用
@article{arxiv.1801.05065,
title = {Comonad Cohomology of Track Categories},
author = {David Blanc and Simona Paoli},
journal= {arXiv preprint arXiv:1801.05065},
year = {2019}
}
备注
The paper has been re-written more concisely to improve readability. To appear in Journal of Homotopy and Related Structures