On limits and colimits in the Kleisli category

Jenö Szigeti

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1983)

  • Volume: 24, Issue: 4, page 381-391
  • ISSN: 1245-530X

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Szigeti, Jenö. "On limits and colimits in the Kleisli category." Cahiers de Topologie et Géométrie Différentielle Catégoriques 24.4 (1983): 381-391. <http://eudml.org/doc/91336>.

@article{Szigeti1983,
author = {Szigeti, Jenö},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Kleisli category; cocompleteness; completeness; Eilenberg-Moore category; lifting of adjoint functors},
language = {eng},
number = {4},
pages = {381-391},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On limits and colimits in the Kleisli category},
url = {http://eudml.org/doc/91336},
volume = {24},
year = {1983},
}

TY - JOUR
AU - Szigeti, Jenö
TI - On limits and colimits in the Kleisli category
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1983
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 24
IS - 4
SP - 381
EP - 391
LA - eng
KW - Kleisli category; cocompleteness; completeness; Eilenberg-Moore category; lifting of adjoint functors
UR - http://eudml.org/doc/91336
ER -

References

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  1. 1 Adamek, J., Colimits of algebras revisited, Bull. Austr. Math. Soc.15 (1976). Zbl0365.18007MR430025
  2. 2 Adamek, J. & Trnkova, V., Varietors and machines, COINS Technical Report 78-6, Univ. of Mass. at Amherst (1978). Zbl0491.18003
  3. 3 Adamek, J. & Koubek, V., Simple construction of colimits of algebras, to appear. Zbl0446.18003
  4. 4 Andreka, H., Nemeti, I. & Sain, I., Cone injectivity and some Birkhoff-type theorems in categories, Proc. Coll. Universal Algebra (Esztergom1977), Coll. Soc. J. Bolyai, North Holland, to appear. 
  5. 5 Barr, M., Coequalizers and free triples, Math. Z.116 (1970). Zbl0194.01701MR272849
  6. 6 Eilenberg, S.& Moore, J., Adjoint functors and triples, Ill. J. Math.9 (1965). Zbl0135.02103MR184984
  7. 7 Johnstone, P.T., Adjoint lifting theorems for categories of algebras, Bull. London Math. Soc.7 (1975). Zbl0315.18004MR390018
  8. 8 Kleisli, H., Every standard construction is induced by a pair of adjoint functors, Proc. A. M. S.16 (1965). Zbl0138.01704MR177024
  9. 9 Koubek, V.& Reiterman, J., Categorical constructions of free algebras, colimits and completions of partial algebras, J. Pure Appl. Algebra14 (1979). Zbl0403.18002MR524187
  10. 10 Linton, F.E.J., Coequalizers in categories of algebras, Lecture Notes in Math.80, Springer (1969). Zbl0181.02902MR244341
  11. 11 Maclane, S., Categories for the working mathematician, Springer GTM61971. Zbl0705.18001MR354798
  12. 12 Manes, E.G., Alge braic Theories, Springer GTM26, 1976. Zbl0353.18007MR419557
  13. 13 Tholen, W., Adjungierte Dreiecke, Colimites und Kan-Erweitérungen, Math. Ann.217(1975). Zbl0325.18002MR393172
  14. 14 Tholen, W., On Wyler's taut lift theorem, Gen. Top. Appl.8 (1975). Zbl0374.18002
  15. 15 Tholen, W., Wischnewsky, M.B. & Wolff, H., Semi-topological functors III: Lifting of monads and adjoint functors, Seminarberichte 4, Fachbereich für Math., Fernuniversität Hagen (1978). Zbl0428.18003
  16. 16 Ulmer, F., Properties of dense and relative adjoint functors, J. Algebra8 (1968). Zbl0182.34403MR222138

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