A higher limit approach to homology theories
K-Theory and Homology
2014-09-15 v1 Algebraic Topology
Group Theory
Abstract
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 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.
Keywords
Cite
@article{arxiv.1309.4920,
title = {A higher limit approach to homology theories},
author = {Sergei O. Ivanov and Roman Mikhailov},
journal= {arXiv preprint arXiv:1309.4920},
year = {2014}
}
Comments
25 pages