Comparison of Cubical and Simplicial Derived Functors

Details Comparison of Cubical and Simplicial Derived Functors Comparison of Cubical and Simplicial Derived Functors

2010-11-22

arxiv.org/abs/1011.4870v1

Mathematics

K-Theory and Homology

Scientific paper

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.

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