Comparison of Cubical and Simplicial Derived Functors
K-Theory and Homology
2010-11-23 v1 Algebraic Topology
Category Theory
Abstract
In this note we prove that the simplicial derived functors introduced by Tierney and Vogel [TV69] are naturally isomorphic to the cubical derived functors introduced by the author in [P09]. We also explain how this result generalizes the well-known fact that the simplicial and cubical singular homologies of a topological space are naturally isomorphic.
Keywords
Cite
@article{arxiv.1011.4870,
title = {Comparison of Cubical and Simplicial Derived Functors},
author = {Irakli Patchkoria},
journal= {arXiv preprint arXiv:1011.4870},
year = {2010}
}