Abstract
Let T and D denote respectively the functors which assign to every semi-simplicial double object in an abelian category with infinite direct sums, the total and the diagonal complex. The idea of the proof of the theorem in the title of this note is to show that HnT and HnD are left-satellites and that HℴT=HℴD. A proof of this theorem was first given in[2].
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References
DOLD, A., MACLANE, S. and OBERST, U., Projective classes and acyclic models, Berlin-Heidelberg-New York: Springer 1967.
DOLD, A. and PUPPE, D., Homologie nicht-additiver Funktoren. Anwendungen, Ann. Inst. Fourier,11 201–313 (1961).
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The author is a recipient of an Alexander von Humboldt fellowship at the Department of Mathematics of the University of Heidelberg.
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Hanna, A. A new proof of the Eilenberg-Zilber-Cartier theorem. Manuscripta Math 14, 297–301 (1974). https://doi.org/10.1007/BF01171415
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DOI: https://doi.org/10.1007/BF01171415