Images in categories as reflections

Hans Ehrbar; Oswald Wyler

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1987)

  • Volume: 28, Issue: 2, page 143-159
  • ISSN: 1245-530X

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Ehrbar, Hans, and Wyler, Oswald. "Images in categories as reflections." Cahiers de Topologie et Géométrie Différentielle Catégoriques 28.2 (1987): 143-159. <http://eudml.org/doc/91398>.

@article{Ehrbar1987,
author = {Ehrbar, Hans, Wyler, Oswald},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {images; coimages; factorization of morphisms; reflective subcategories},
language = {eng},
number = {2},
pages = {143-159},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Images in categories as reflections},
url = {http://eudml.org/doc/91398},
volume = {28},
year = {1987},
}

TY - JOUR
AU - Ehrbar, Hans
AU - Wyler, Oswald
TI - Images in categories as reflections
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1987
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 28
IS - 2
SP - 143
EP - 159
LA - eng
KW - images; coimages; factorization of morphisms; reflective subcategories
UR - http://eudml.org/doc/91398
ER -

References

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  1. 1, F. Cagliari & S. Mantovani, Factorizations in topological categories and related topics, Preprint 1986, Zbl0673.18003MR958734
  2. 2 H., Ehrbar, Bilder und adjungierte Funktoren, Dissertation, Univ, München1969, 
  3. 3, H. Ehrbar & O. Wyler, On subobjects and images in categories, Technical Report 68-34, Dept, Math., Carnegie-Mellon Univ. 1968, 
  4. 4, H. Ehrbar & O. Wyler, On subobjects and images in categories, Preprint 1969, 
  5. P.J. Freyd & G.M. Kelly, 5 Categories of continuous functors, I, J, Pure App, Algebra2 (1972), 169-191, Zbl0257.18005MR322004
  6. 6 A. Grothendieck, Sur quelques points d'algèbre homologique, Tohoku Math, J, 9 (1957), 119-221, Zbl0118.26104MR102537
  7. 7, H. Herrlich, Perfect subcategories and factorizations, Colloquia Math, Soc, Janos Bolyai8 (1972), 387-403, Zbl0335.54011MR362193
  8. 8 H. Herrlich, G. Salicrup & G.E. Strecker, Factorizations, denseness, separation, and relatively compact objects, Preprint 1986, Zbl0629.18003MR911689
  9. 9, J.R. Isbell, Subobjects, adequacy, completeness, and categories of algebras, Rozprawy Mat, 36 (1964). Zbl0133.26703MR163939
  10. 10, M. Jurchescu & A. Lascu, Morfisme stricte, categorii cantoriene, functori de completare, Studii Cerc. Math.18 (1966), 219-234, Zbl0192.34102MR220793
  11. 11 G.M. Kelly, Monomorphisms, epimorphisms, and pull-backs, J, Austral, Math, Soc, 9 (1969), 124-142, Zbl0169.32604MR240161
  12. 12, J.F. Kennison, Full reflective subcategories and generalized covering spaces, III, J, Math, 12 (1968), 353-365, Zbl0155.31402MR227247
  13. 13, J. Macdonald & W. Tholen, Decomposition of morphisms into infinitely many factors, Lecture Notes in Math, 962, Springer (1982), 175-189, Zbl0497.18006MR682955
  14. 14, S. Maclane, Duality for groups, Bul. Amer. Math. Soc.50 (1950), 485-516, Zbl0045.29905MR49192
  15. 15, J. Sonner, Canonical categories, Proc, Conf, Categorical Algebra La Jolla 1965, Springer (1966), 272-294, Zbl0185.04002MR220794
  16. 16, G.E. Strecker, Perfect sources, Lecture Notes in Math, 540, Springer (1976), 605-624, Zbl0338.54007MR451192
  17. 17, W. Tholen, Factorizations, localizations and the orthogonal subcategory problem, Math. Nachr.114 (1983), 63-85, Zbl0553.18003MR745048
  18. 18, O. Wyler, Weakly exact categories, Archiv d, Math, (Basel) 17 (1966), 9-19, Zbl0163.01503MR190211

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