Reflections in locally presentable categories

Jiří Adámek; Jiří Rosický

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 1-2, page 89-94
  • ISSN: 0044-8753

How to cite

top

Adámek, Jiří, and Rosický, Jiří. "Reflections in locally presentable categories." Archivum Mathematicum 025.1-2 (1989): 89-94. <http://eudml.org/doc/18262>.

@article{Adámek1989,
author = {Adámek, Jiří, Rosický, Jiří},
journal = {Archivum Mathematicum},
keywords = {reflective subcategory; locally presentable category; regular cardinal; -filtered colimits},
language = {eng},
number = {1-2},
pages = {89-94},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Reflections in locally presentable categories},
url = {http://eudml.org/doc/18262},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Adámek, Jiří
AU - Rosický, Jiří
TI - Reflections in locally presentable categories
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 1-2
SP - 89
EP - 94
LA - eng
KW - reflective subcategory; locally presentable category; regular cardinal; -filtered colimits
UR - http://eudml.org/doc/18262
ER -

References

top
  1. J. Adámek, J. Rosický, Intersections of reflective subcategories, Proc. Amer. Math. Soc. 103 (1988), 710-712. (1988) MR0947643
  2. J. Adámek J. Rosický, V. Trnková, Are all limit-closed subcategories of locally presentable categories reflective?, Proc. Categ. Conf. Louvain-La-Neuve., Lecture Notes in Math. 1348, Springer-Verlag 1988, 1-18. (1988) MR0975956
  3. F. Borceux, G. M. Kelly, On locales of localizations, Jour. Pure Appl. Alg. 46 (1987), 1-34. (1987) Zbl0614.18005MR0894389
  4. S. Fakir, Objects algébriquement clos et injectifs dans les catégories localement présentables, Bull. Soc. Math. France, Mem. 42 (1975). (1975) MR0401879
  5. E. R. Fisher, Vopěnka's principle, universal algebra and category theory, preprint 1987. (1987) 
  6. P. Gabriel, F. Ulmer, Lokal prasentierbare Kategorien, Lect. Notes in Math. 221, Springer-Verlag 1971. (1971) MR0327863
  7. T. Jech, Set theory, Academic Press, New York 1978. (1978) Zbl0419.03028MR0506523
  8. M. Makkai, A. M. Pitts, Some results on locally finitely presentable categories, Trans. Amer. Math. Soc. 299 (1987), 473-496. (1987) Zbl0615.18002MR0869216
  9. J. Rosický V. Trnková, J. Adámek, Unexpected properties of locally presentable categories, to appear in Alg. Univ. MR1037859
  10. H. Volger, Preservation theorems for limits of structures and global sections of sheaves of structures, Math. Z. 166 (1979), 27-53. (1979) Zbl0379.02020MR0526864

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.