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A Characterization of the Hyperhomology Groups of the Tensor Product

Published online by Cambridge University Press:  20 November 2018

Thomas W. Hungerford
Thomas W. Hungerford*
Affiliation:
University of Washington, Seattle, Washington
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If K and L are chain complexes of abelian groups (to which we restrict ourselves throughout this paper), then denotes the graded hyperhomology group of K and L, as defined in Car tan and Eilenberg (1) by means of free double complex resolutions of K and L. Hyperhomology groups have proved convenient in proving various versions of the Künneth theorem (see, for example, (4; 1; 2)).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 505 - 510
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Cartan, H. and Eilenberg, S., Homological algebra (Princeton, 1956).Google Scholar
2. Dold, A., Zurhomotopie Théorie der Kettenkomplexe, Math. Ann., 140 (1960), 278–298.Google Scholar
3. Hungerford, T. W., Bockstein spectra, Trans. Amer. Math. Soc, 115 (1965), 225–241.Google Scholar
4. Hungerford, T. W., Hyperhomology spectra and a multiplicative Runneth theorem, Illinois J. Math., 10 1966), 249–254.Google Scholar