More on orthogonality in locally presentable categories

M. Hebert; J. Adamek; J. Rosický

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2001)

  • Volume: 42, Issue: 1, page 51-80
  • ISSN: 1245-530X

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Hebert, M., Adamek, J., and Rosický, J.. "More on orthogonality in locally presentable categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 42.1 (2001): 51-80. <http://eudml.org/doc/91641>.

@article{Hebert2001,
author = {Hebert, M., Adamek, J., Rosický, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {orthogonal subcategory; omega-orthogonality class; locally presentable category; accessible categories; categories of fractions},
language = {eng},
number = {1},
pages = {51-80},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {More on orthogonality in locally presentable categories},
url = {http://eudml.org/doc/91641},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Hebert, M.
AU - Adamek, J.
AU - Rosický, J.
TI - More on orthogonality in locally presentable categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2001
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 42
IS - 1
SP - 51
EP - 80
LA - eng
KW - orthogonal subcategory; omega-orthogonality class; locally presentable category; accessible categories; categories of fractions
UR - http://eudml.org/doc/91641
ER -

References

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  2. [AR] J. Adámek and J. Rosický, Locally presentable and accessible categories, Cambridge Univ. Press1994. Zbl0795.18007MR1294136
  3. [AGV] M. Artin, A. Grothendieck and J.L. Verdier, Théorie des topos et cohomologie étale des schémas, Lect. Notes in Math.269, Springer-Verlag1972. MR354653
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  5. [GZ] P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Springer-Verlag1967. Zbl0186.56802MR210125
  6. [HR] M. Hébert and J. Rosický, Uncountable orthogonality is a closure property, to appear in the Bull. London Math. Soc. Zbl1031.18004MR1853779
  7. [J] J. Jürjens, On a problem of Gabriel and Ulmer, to appear in the Jour. Pure Appl. Alg. Zbl0984.18002MR1822840
  8. [M] M. Makkai, Ultraproducts and categorical logic, Methods in Categorical Logic (ed. C. A. DiPrisco) Lecture Notes in Math.1130, Springer-Verlag, Berlin1985, 229-305. Zbl0582.03052MR799044
  9. [MPa] M. Makkai and R. Paré, Accessible categories: the foundations of categorical model theory, Cont. Math.104, AMS1989. Zbl0703.03042MR1031717
  10. [MPi] M. Makkai and A. Pitts, Some results on locally finitely presentable categories, Trans. Amer. Math. Soc.299 (1987), 473-496. Zbl0615.18002MR869216
  11. [RAB] J. Rosický, J. Adámek and F. Borceux, More on injectivity in locally presentable categories, to appear. Zbl0993.18006MR1895512
  12. [S] H. Schubert, Kategorien II., Akademie-Verlag, Berlin1970. Zbl0205.31904MR274548
  13. [V] H. Volger, Preservation theorems for limits of structures and global section of sheaves of structures, Math. Zeitschr.166 (1979), 27-53. Zbl0379.02020MR526864

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