Orthogonal and prereflective subcategories

Jiři Rosický; Walter Tholen

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1988)

  • Volume: 29, Issue: 3, page 203-215
  • ISSN: 1245-530X

How to cite

top

Rosický, Jiři, and Tholen, Walter. "Orthogonal and prereflective subcategories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 29.3 (1988): 203-215. <http://eudml.org/doc/91422>.

@article{Rosický1988,
author = {Rosický, Jiři, Tholen, Walter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {limit-closed subcategory; complete Boolean algebra; well-pointed endofunctor; orthogonal subcategories; prereflective subcategories},
language = {eng},
number = {3},
pages = {203-215},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Orthogonal and prereflective subcategories},
url = {http://eudml.org/doc/91422},
volume = {29},
year = {1988},
}

TY - JOUR
AU - Rosický, Jiři
AU - Tholen, Walter
TI - Orthogonal and prereflective subcategories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1988
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 29
IS - 3
SP - 203
EP - 215
LA - eng
KW - limit-closed subcategory; complete Boolean algebra; well-pointed endofunctor; orthogonal subcategories; prereflective subcategories
UR - http://eudml.org/doc/91422
ER -

References

top
  1. A-R J. Adamek & J. Rosický, Intersections of reflective subcategories, Proc. A.M.S. (to appear). Zbl0675.18002MR947643
  2. A-R-T J. Adámek, J. Rosický & V. Tnnková, Are all limit-closed subcategories of locally presentable categories reflective ? Proc, Categ, Conf, Louvain-La-Neuve1987 (to appear), Zbl0668.18004
  3. B R. Borger, Kategorielle Beschreibungen von Zusammenhangsbegriffen, Doctoral Dissertation, Hagen1981, Zbl0478.18003
  4. B-K F. Borceux & G.M. Kelly, On locales of localization, J. Pure Appl. Algebra46 (1987), 1-34, Zbl0614.18005MR894389
  5. B-T R. Börger & W. Tholen, Cantors Diagonalprinzip für Kategorien, Math. Z, 160 (1978), 135-138, Zbl0363.04002MR498772
  6. F-K P.J. Freyd & G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra2 (1972), 169-191, Zbl0257.18005MR322004
  7. H H. Herrlich, On the concept of reflections in general topology, Proc, Int, Symposium on Extension Theory of Topological Structures, Berlin (1969), 105-114, Zbl0182.25301MR284986
  8. I J.R. Isbell, A closed non-reflective subcategory of compact spaces, Manuscript, Buffalo1978, 
  9. J P.T. Johnstone, Stone spaces, Cambridge Univ, Press, Cambridge1982, Zbl0499.54001MR698074
  10. J-T A. Joyal & M. Tierney, An extension of the 6alois theory of 6rothendieck, Memoirs A.M.S.309 (1984), Zbl0541.18002
  11. K-R V. Kannan & M. Rajagopalan, Constructions and applications of rigid spaces I, Advances in Math, 29 (1978), 89-130, Zbl0403.54030MR501093
  12. Ke 1 G.M. Kelly, A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, Bull. Austral. Math. Soc.22 (1980), 1-84, Zbl0437.18004MR589937
  13. Ke 2 G.M. Kelly, On the ordered set of reflectives subcategories, Bull. Austral. Math. Soc.36 (1987), 137-152, Zbl0606.18001MR897430
  14. Ko V., KOUBEK, Each concrete category has a representation by T2 paracompact topological spaces, Comm. Math. Univ. Carolinae15 (1975), 655-664, Zbl0291.54019MR354806
  15. R.J., Rosický, Semi-initial completions, J, Pure Appl, Algebra40 (1986), 177-183, Zbl0587.18001MR830320
  16. Tr1 V. Trnková, Non-constant continuous nappings of metric or compact Hausdorff spaces, Comm. Math. Univ. Carolinae13 (1972), 283-295, Zbl0245.54040MR303486
  17. Tr 2 V. Trnková, All small categories are representable by continuous nonconstant mappings of bicompacts, Soviet Math. Dok1, 17 (1976), 1403-1406, Zbl0362.18005MR417259
  18. Th 1 W. Tholen, Semi-topological functors I, J. Pure Appl. Algebra15 (1979), 53-73, Zbl0413.18001MR532963
  19. Th 2 W. Tholen, Factorizations, localizations, and the orthogonal subcategory problem, Math. Nachr.114 (1983), 63-85, Zbl0553.18003MR745048
  20. Th 3 W. Tholen, Prereflections and reflections, Comm. in Algebra14 (1986), 717-740, Zbl0587.18002MR830816
  21. Th 4 W. Tholen, Reflective subcategories, Topology Appl.27 (1987), 201-212, Zbl0629.18004MR911692
  22. w H. Wolff, Free monads and the orthogonal subcategory problem, J. Pure Appl. Algebra13 (1978), 233-242, Zbl0413.18005MR509163

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.