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Chain maps inducing zero homology maps

Published online by Cambridge University Press:  24 October 2008

G. M. Kelly
G. M. Kelly
Affiliation:
The University of Illinois
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 4 , October 1965 , pp. 847 - 854
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1) Cartan, H. and Eilenberg, S. Homological algebra (Princeton, 1956).Google Scholar
(2) Dold, A. Zur HomotopietJieorie der Kettenkomplexe. Math. Annalen 140 (1960), 278–298.CrossRefGoogle Scholar
(3) Kelly, G. M. Complete functors in homology. II. Proc. Cambridge Philos. Soc. 60 (1964), 737–749.CrossRefGoogle Scholar