A higher limit approach to homology theories

作者：Ivanov Sergei O^*; Mikhailov Roman

来源：Journal of Pure and Applied Algebra, 2015, 219(6): 1915-1939.

DOI：10.1016/j.jpaa.2014.07.016

A lot of well-known functors such as group homology, cyclic homology of algebras can be described as limits of certain simply defined functors over categories of presentations. In this paper, we develop a technique for the description of the higher limits over categories of presentations and show that certain homological functors can be described in this way. In particular, we give a description of Hochschild homology and the derived functors of tensor, symmetric and exterior powers in the sense of Dold and Puppe as higher limits.

• 出版日期2015-6