A unified approach to the lifting of adjoints

A. J. Power

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1988)

  • Volume: 29, Issue: 1, page 67-77
  • ISSN: 1245-530X

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Power, A. J.. "A unified approach to the lifting of adjoints." Cahiers de Topologie et Géométrie Différentielle Catégoriques 29.1 (1988): 67-77. <http://eudml.org/doc/91413>.

@article{Power1988,
author = {Power, A. J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {adjoint squares; adjoint triangles; monads; functors of descent type; lifting of adjoints},
language = {eng},
number = {1},
pages = {67-77},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A unified approach to the lifting of adjoints},
url = {http://eudml.org/doc/91413},
volume = {29},
year = {1988},
}

TY - JOUR
AU - Power, A. J.
TI - A unified approach to the lifting of adjoints
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1988
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 29
IS - 1
SP - 67
EP - 77
LA - eng
KW - adjoint squares; adjoint triangles; monads; functors of descent type; lifting of adjoints
UR - http://eudml.org/doc/91413
ER -

References

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  1. 1, M. Barr, The point of the empty set, Cahiers Top. et Géom. Diff.XV-4 (1972), 357-368, Zbl0258.18003MR323861
  2. 2, M. Barr & C. Wells, Toposes, Triples and Theories, Springer, 1985, Zbl0567.18001MR771116
  3. 3, R. Borger, W. Tholen, M.B. Wischnewsky & H. Wolff, Compact and hypercomplete categories, J. Pure Appl. Algebra21 (1981), 129-144, Zbl0457.18003MR614376
  4. 4, E. Dubuc, adjoint triangles, Lecture Notes in Math, 61 (1968), 69-91, Zbl0172.02103MR233864
  5. 5, P.T. Johnstone, Adjoint lifting theorems for categories of algbras, Bull. London Math. Soc.7 (1975), 294-297, Zbl0315.18004MR390018
  6. 6 F.W. Lawvere, Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U.S.A.50 (1963), 869-873, Zbl0119.25901MR158921
  7. 7, F.E.J. Linton, Coequalizers in categories of algebras, Lecture Notes in Math, 80 (1969), 75-90, Zbl0181.02902MR244341
  8. 8, A.J. Power, Butler's Theorems and adjoint squares, Ph,D, Thesis, McGill Univ., 1984. 
  9. 9 B.A. Rattray, Adjoints to functors from categories of algebras, Comm. Algebra3 (1975), 563-569, Zbl0316.18004MR376804
  10. 11 R. Street, The formal theory of monads, J. Pure Appl. Algebre2 (1972), 149-168, Zbl0241.18003MR299653
  11. 11, R. Street, W. Tholen, M.B. Wischnewsky & H. Wolff, Semitopological functors, III: Lifting of monads and adjoint functors, J. Pure Appl. Algebra16 (1980), 299-314. Zbl0428.18003MR558494
  12. 12 W. Tholen, Relative Bildzerlegungen und algebraische Kategorien, Ph,D, Thesis, Univ, Munster, 1974, 
  13. 13 W. Tholen, Adjungierte Dreiecke, Colimites und Kan-ErweiterungenMath. Ann, 217 (1975), 121-129, Zbl0325.18002MR393172

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