Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T10:05:46.400Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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