Quotient systems in Grothendieck topoi

Kimmo I. Rosenthal

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 4, page 425-438
  • ISSN: 1245-530X

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Rosenthal, Kimmo I.. "Quotient systems in Grothendieck topoi." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.4 (1982): 425-438. <http://eudml.org/doc/91313>.

@article{Rosenthal1982,
author = {Rosenthal, Kimmo I.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Grothendieck topos; hyperconnected geometric morphism; quotient system; etendue},
language = {eng},
number = {4},
pages = {425-438},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Quotient systems in Grothendieck topoi},
url = {http://eudml.org/doc/91313},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Rosenthal, Kimmo I.
TI - Quotient systems in Grothendieck topoi
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 4
SP - 425
EP - 438
LA - eng
KW - Grothendieck topos; hyperconnected geometric morphism; quotient system; etendue
UR - http://eudml.org/doc/91313
ER -

References

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  1. 1 R. Diaconescu, Grothendieck toposes have boolean points - a new proof, Communications Alg.4 (1976), 723-729. Zbl0358.18011MR414658
  2. 2 P. Johnstone, Topos Theory, L.M. S. Math. Monog.10, Academic Press1977. Zbl0368.18001MR470019
  3. 3 P. Johnstone, Factorization and pullback theorems for localic geometric morphisms, Sém. Math. Pure Rapport79, Univ. Catholique Louvain (1979). 
  4. 4 P. Johnstone, Factorization theorems for geometric morphisms I, Cahiers Top. et Géom. Diff. XXII-1 (1981), 3-17. Zbl0454.18007MR609154
  5. 5 P Johnstone, Quotients of decidable objects in a topos, Preprint. Zbl0515.18002MR698346
  6. 6 P. Johnstone, Open maps of toposes, Man. Math.31 (1980), 217-247. Zbl0433.18002MR576498
  7. 7 F.W. Lawvere, Lectures (at SUNY, Buffalo) 1975-77, Unpublished. 
  8. 8 K. Rosenthal, Etendue s and categories with monic maps, J. Pure & Appl. Algebra22 (1981), 193 - 212. Zbl0473.18004MR624572
  9. 9 M. Tierney & A. Joyal, Open maps and descent, To appear. 

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