Orthogonality and closure operators

Lurdes Sousa

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1995)

  • Volume: 36, Issue: 4, page 323-343
  • ISSN: 1245-530X

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Sousa, Lurdes. "Orthogonality and closure operators." Cahiers de Topologie et Géométrie Différentielle Catégoriques 36.4 (1995): 323-343. <http://eudml.org/doc/91567>.

@article{Sousa1995,
author = {Sousa, Lurdes},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {orthogonal hull; reflective subcategories; reflective hull; orthogonal closure operator},
language = {eng},
number = {4},
pages = {323-343},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Orthogonality and closure operators},
url = {http://eudml.org/doc/91567},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Sousa, Lurdes
TI - Orthogonality and closure operators
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1995
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 36
IS - 4
SP - 323
EP - 343
LA - eng
KW - orthogonal hull; reflective subcategories; reflective hull; orthogonal closure operator
UR - http://eudml.org/doc/91567
ER -

References

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  2. [2] J. Adámek and J. Rosický, Intersections of reflective subcategories, Proc. Amer. Math. Soc.103 (1988), 710-712. Zbl0675.18002MR947643
  3. [3] D. Dikranjan and E. Giuli, Closure operators I, Top. and its Appl.27 (1987), 129-143. Zbl0634.54008MR911687
  4. [4] D. Dikranjan and E. Giuli, Urysohn-closed spaces, old and new, preprint. Zbl0658.54015
  5. [5] D. Dikranjan, E. Giuli and W. Tholen, Closure operators II, in: Categorical Topology and its relstions to Analysis, Algebra and Combinatorics (Conference Proceedings, Prague1988), pp.297-335. MR1047909
  6. [6] P.J. Freyd and G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra2 (1972), 169-191. Zbl0257.18005MR322004
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  8. [8] R.E. Hoffmann, Topological functors admitting generalized Cauchy-completions, in: Proc. Conf. "Categorical Topology, Manheim 1975", Lecture Notes in Math. 540 (1976), pp. 286-344. Zbl0421.18002MR644648
  9. [9] J.R. Isbell, Epimorphisms and dominions, in:Proc. Conf. Categorical Algebra (La Jolla1965), Springer-Verlag, Berlin-Heidelberg -New York1966, pp. 232-246. Zbl0194.01601MR209202
  10. [10] S. MacLane, Categories for the Working Mathematician, Springer-Verlag, Berlin-Heidelberg- New York1971. Zbl0705.18001MR354798
  11. [11] J. Rosický, Semi-initial completions, J. Pure Appl. Algebra40 (1986), 177-183. Zbl0587.18001MR830320
  12. [12] J. Rosický and W. Tholen, Orthogonal and prereflective subcategories, Cah. Top. Géom. Diff. Cat.29 (1988), 203-215. Zbl0669.18001MR975373
  13. [13] S. Salbany, Reflective subcategories and closure operators, in: Proc. Conf. "Categorical Topology, Manheim 1975", Lecture Notes in Math. 540 (1976), pp. 548-565. Zbl0335.54003MR451186
  14. [14] M. Sobral, Absolutely closed spaces and categories of algebras, Portugaliae Math.47 (1990), 341-351. Zbl0732.18001MR1090472
  15. [15] L. Sousa, Solid hulls of concrete categories, submitted. Zbl0824.18002
  16. [16] W. Tholen, Factorizations, localizations, and the orthogonal sub-category problem, Math. Nachr.114 (1983), 63-85. Zbl0553.18003MR745048
  17. [17] W. Tholen, Reflective subcategories, Top. and its Appl.27 (1987), 201-212. Zbl0629.18004MR911692
  18. [18] T. Trnková, J. Adámek and J. Rosický, Topological reflections revisited, Proc. of the Amer. Math. Soc.108 (1990), 605-612. Zbl0694.18006MR987614

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