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Remarks on triples in enriched categories

Published online by Cambridge University Press:  17 April 2009

H. Wiesler  and
G. Calugareanu Jr
H. Wiesler
Affiliation:
University of Cluj, Cluj, Roumania.
G. Calugareanu Jr
Affiliation:
University of Cluj, Cluj, Roumania.
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Abstract

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Let v be a symmetric monoidal closed category with equalizers. The v–triples T, T′, … in the enriched category A, together with suitably defined morphisms form a category v–Trip(A). The v–categories AT, AT′, … and the v–functors R: AT′ → AT which are compatible with the forgetful functors form a category V–Alg(A).

In the subsequent note it is shown that V–Trip(A) is isomorphic to the dual of V–Alg(A) and that the morphisms of V–Alg(A) are inverse limit preserving V–functors.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 3 , December 1970 , pp. 375 - 383
Copyright
Copyright © Australian Mathematical Society 1970

References

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