Injectivity versus exponentiability

Walter Tholen

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2008)

  • Volume: 49, Issue: 3, page 228-240
  • ISSN: 1245-530X

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Tholen, Walter. "Injectivity versus exponentiability." Cahiers de Topologie et Géométrie Différentielle Catégoriques 49.3 (2008): 228-240. <http://eudml.org/doc/91738>.

@article{Tholen2008,
author = {Tholen, Walter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {injectivity; projectivity; exponentiability; injective hull; projective cover},
language = {eng},
number = {3},
pages = {228-240},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Injectivity versus exponentiability},
url = {http://eudml.org/doc/91738},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Tholen, Walter
TI - Injectivity versus exponentiability
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2008
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 49
IS - 3
SP - 228
EP - 240
LA - eng
KW - injectivity; projectivity; exponentiability; injective hull; projective cover
UR - http://eudml.org/doc/91738
ER -

References

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  1. [AR] J. Adámek and J. Rosický, Locally Presentable and Accessible Categories. Cambridge University Press (Cambridge 1994). Zbl0795.18007MR1294136
  2. [AHRT1] J. Adámek, H. Herrlich, J. Rosický and W. Tholen, Weak factorization systems and topological functors. Appl. Categorical Structures. 10 (2002), 237-249. Zbl0997.18002MR1916156
  3. [AHRT2] J. Adámek, H. Herrlich, J. Rosický and W. Tholen, On a generalized Small-Object Argument for the injective subcategory problem. Cahiers Topologie Géom. Différentielle Catégoriques. 43 (2002), 83-106. Zbl1002.18002MR1913101
  4. [AHRT3] J. Adámek, H. Herrlich, J. Rosický and W. Tholen, Injective hulls are not natural. Algebra Universalis. 48 (2002), 379-388. Zbl1061.18010MR1967087
  5. [Ba] B. Banaschewski, Injectivity and essential extensions in equational classes of algebras. Queen's Papers in Pure and Applied Mathematics. 25 (1970), 131-147. Zbl0233.18002MR258708
  6. [Bo] F. Borceux, Handbook of Categorical Algebra 1. Cambridge University Press (Cambridge 1994). Zbl0803.18001MR1291599
  7. [CLW] A. Carboni, S. Lack and R.F.C. Walters, Introduction to extensive and distributive categories. J. Pure Appl. Algebra. 84 (1993), 145-158. Zbl0784.18001MR1201048
  8. [DT] R. Dyckhoff and W. Tholen, Exponentiable morphisms, partial products and pull-back complements. J. Pure Appl. Algebra. 49 (1987), 103-116. Zbl0659.18003MR920516
  9. [H] PS. Hirschhorn, Model Categories and Their Localizations. Amer. Math. Society (Providence 2003). Zbl1017.55001MR1944041
  10. [ML] S. Mac Lane, Categories for the Working Mathematician. Springer (Berlin 1997). Zbl0232.18001MR354798
  11. [N] S. Niefield, Cartesianness: topological spaces, uniform spaces and affine schemes J. Pure Appl. Algebra. 23(1982), 147-167. Zbl0475.18011MR639571
  12. [R] J. Rosický, On projectivity in locally presentable categories. J. Algebra. 272(2004),701-710. Zbl1040.18008MR2028077
  13. [RT] J. Rosický and W. Tholen, Factorization, fibration and torsion. J. Homotopy Theory and Related Structures. 2 (2007), 295-314. Zbl1184.18009MR2369170
  14. [Tl] W. Tholen, Injective objects and cogenerating sets. J. Algebra. 73(1981), 139-155. Zbl0487.18014MR641637
  15. [T2] W. Tholen, Injectives, exponentials, and model categories. Abstracts of the Intern. Conf. on Category Theory (Como 2000). 
  16. [T3] W. Tholen, Essential weak factorization systems. In: Contributions to General Algebra 13 (Klagenfurt 2001), pp. 321-333. Zbl0990.18002MR1854596

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