Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-12T08:34:10.837Z Has data issue: false hasContentIssue false
  • English
  • Français

On Fundamental Constructions and Adjoint Functors

Published online by Cambridge University Press:  20 November 2018

J. -M. Maranda
J. -M. Maranda*
Affiliation:
University of Montreal
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.

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
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 5 , December 1966 , pp. 581 - 591
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