2010/11/22 by Irakli Patchkoria, Patchkoria, Irakli
Mathematics · #18E25 #18G10 #18G25 #18G30 #55N10 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1011.4870
openalex publication_date 2010/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.