Comparison of Cubical and Simplicial Derived Functors
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🧮 math.KT
math.ATmath.CT
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cubicalderivedfunctorssimplicialintroducedisomorphicnaturallyauthor
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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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