Exponentially faithful category: a theorem on adjoint functors.

Cristina Martínez Calvo

Revista Matemática Hispanoamericana (1979)

  • Volume: 39, Issue: 6, page 267-275
  • ISSN: 0373-0999

Abstract

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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.

How to cite

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Martínez Calvo, Cristina. "Categoría exponencialmente fiel: Un teorema sobre functores adjuntos.." Revista Matemática Hispanoamericana 39.6 (1979): 267-275. <http://eudml.org/doc/39769>.

@article{MartínezCalvo1979,
author = {Martínez Calvo, Cristina},
journal = {Revista Matemática Hispanoamericana},
keywords = {Teoría de categorías; Functores; exponentially faithful category; projection functor; adjoint functor; evaluation},
language = {spa},
number = {6},
pages = {267-275},
title = {Categoría exponencialmente fiel: Un teorema sobre functores adjuntos.},
url = {http://eudml.org/doc/39769},
volume = {39},
year = {1979},
}

TY - JOUR
AU - Martínez Calvo, Cristina
TI - Categoría exponencialmente fiel: Un teorema sobre functores adjuntos.
JO - Revista Matemática Hispanoamericana
PY - 1979
VL - 39
IS - 6
SP - 267
EP - 275
LA - spa
KW - Teoría de categorías; Functores; exponentially faithful category; projection functor; adjoint functor; evaluation
UR - http://eudml.org/doc/39769
ER -

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