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Derived functors as homotopy groups

Published online by Cambridge University Press:  09 April 2009

A. K. Modawi
Affiliation:
Department of Mathematics and Computer Sciences U.A.E. UniversityP. O. Box 15551 Al-Ain United Arab Emirates
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Abstract

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In this paper a generalization of the interpretation of Robinson of torsion products as homotopy groups is given. This generalization allows us to define right derived functors of a coproduct preserving functor defined on a small category with all finite colimits to the category of abelian groups. We show that when the category is additive the definition coincides with the definitions of the right derived functors of Cartan and Eilenberg.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1990

References

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