Categoría exponencialmente fiel: un teorema sobre functores adjuntos.

Autores: Cristina Martínez Calvo
Localización: Revista matemática hispanoamericana, ISSN 0373-0999, Vol. 39, Nº. 6, 1979, págs. 267-275
Idioma: español
Títulos paralelos:
- Exponentially faithful category: a theorem on adjoint functors
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Resumen
- Let P be a small category and A(B) a category such that the functor A ? AP (B ? BP) determined by the projection functor A x P ? A (B x P ? B) has an adjoint for all small category P. A functor G: B ? AP has an adjoint functor if and only if it has and adjoint functor "via" evaluation. If Q is another small category and F: P ? Q an arbitrary functor, the functor AF: AQ ? AP has an adjoint functor.