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On Fundamental Constructions and Adjoint Functors

Published online by Cambridge University Press:  20 November 2018

J. -M. Maranda*
Affiliation:
University of Montreal
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A fundamental construction of a category ζ((2), Appendice) is a triple (S, p, k), where S is a functor from ζ to itself and 2 where p:S2→S and k:1ζ→S are natural transformations such that

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Eilenberg, S. and Moore, J. C., Adjoint functors and triples. Illinois J. of Math., vol. 9, no. 3, pages 381-98.Google Scholar
2. Godement, R., Théorie des faisceaux. Actualités Sci. Ind., no. 1252, Hermann, Paris, 1958.Google Scholar
3. Huber, P. J., Homotopy theory in general categories. Math. Ann., vol. 144, pages 361-85.Google Scholar
4. Kleisli, H., Every standard construction is induced by a pair of adjoint functors. Proc. Am. Math. Soc., vol. 16, no. 3, pages 544-6.Google Scholar
5. Maranda, J.-M., Completions of Modules and Rings. Trans. Roy. Soc. of Canada, 4th series, vol. III, 1965, pages 271-91.Google Scholar