MODEL-CATEGORIES OF COALGEBRAS OVER OPERADS
MODEL-CATEGORIES OF COALGEBRAS OVER OPERADS
复制标题
代数与运算的模型分类
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Justin R. Smith
中科院分区：
文献类型：
--
作者：
Justin R. Smith
本文构造了算子上的余代数范畴和点不可约余代数范畴的模型结构，这些余代数范畴的分量是射影的，在每个维上是纯生成的，并且满足一个条件，允许在单位区间上取张量积.假定链复形是无界的，并从无界情形导出了算子上有界余代数的结果。
This paper constructs model structures on the categories of coalgebras and pointed irreducible coalgebras over an operad whose components are projective, nitely generated in each dimension, and satisfy a condition that allows one to take tensor products with a unit interval. The underlying chain-complex is assumed to be unbounded and the results for bounded coalgebras over an operad are derived from the unbounded case.