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Chain maps inducing zero homology maps

  • G. M. Kelly (a1)
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The purpose of this paper is to prove Theorems 1 and 2 below by exhibiting them as special cases of a more general result, Theorem 3, which admits of a simple proof.

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(1) Cartan, H. and Eilenberg, S. Homological algebra (Princeton, 1956).
(2) Dold, A. Zur HomotopietJieorie der Kettenkomplexe. Math. Annalen 140 (1960), 278298.
(3) Kelly, G. M. Complete functors in homology. II. Proc. Cambridge Philos. Soc. 60 (1964), 737749.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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