Ordered groupoids and étendues

Mark V. Lawson; Benjamin Steinberg

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2004)

  • Volume: 45, Issue: 2, page 82-108
  • ISSN: 1245-530X

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Lawson, Mark V., and Steinberg, Benjamin. "Ordered groupoids and étendues." Cahiers de Topologie et Géométrie Différentielle Catégoriques 45.2 (2004): 82-108. <http://eudml.org/doc/91681>.

@article{Lawson2004,
author = {Lawson, Mark V., Steinberg, Benjamin},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {topos; ordered groupoid; left cancellative category; presheaf; sheaf; étendue; Grothendieck topology; inverse semigroup; right action; cohomology},
language = {eng},
number = {2},
pages = {82-108},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Ordered groupoids and étendues},
url = {http://eudml.org/doc/91681},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Lawson, Mark V.
AU - Steinberg, Benjamin
TI - Ordered groupoids and étendues
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2004
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 45
IS - 2
SP - 82
EP - 108
LA - eng
KW - topos; ordered groupoid; left cancellative category; presheaf; sheaf; étendue; Grothendieck topology; inverse semigroup; right action; cohomology
UR - http://eudml.org/doc/91681
ER -

References

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  2. [2] CH. Ehresmann, Oeuvres complètes et commentées, (ed. A. C. Ehresmann) Supplements to Cahiers de Topologie et Géometrie Différentielle, Amiens, 1980-83. 
  3. [3] P.J. Freyd, A. Scedrov, Categories, allegories, North-Holland, 1990. Zbl0698.18002MR1071176
  4. [4] A. Kock, I. Moerdijk, Presentations of étendues, PreprintAarhus Universitet, 1990. MR1142688
  5. [5] A. Kock, I. Moerdijk, Presentations of étendues, Cahiers de Topologie et Géométrie Différentielle Catégoriques32 (1991), 145-164. Zbl0745.18001MR1142688
  6. [6] H. Lausch, Cohomology of inverse semigroups, J. Algebra35 (1975), 273-303. Zbl0318.20032MR382521
  7. [7] M.V. Lawson, Inverse semigroups: the theory of partial symmetries, World-Scientific, Singapore, 1998. Zbl1079.20505MR1694900
  8. [8] M.V. Lawson, Left cancellative categories and ordered groupoids, PreprintUniversity of WalesBangor, 2003. 
  9. [9] J. Leech, Constructing inverse semigroups from small categories, Semigroup Forum36 (1987), 89-116. Zbl0634.18002MR902733
  10. [10] M. Loganathan, Cohomology of inverse semigroups, J. of Algebra70 (1981), 375-393. Zbl0465.20063MR623815
  11. [11] S. Mac Lane, Categories for the working mathematician, Springer-Verlag, 1971. Zbl0232.18001MR1712872
  12. [12] S. Mac Lane, I. Moerdijk, Sheaves in geometry and logic, Springer-Verlag, 1992. Zbl0822.18001MR1300636
  13. [13] J.C. Meakin, A. Yamamura, Bass-Serre theory and inverse monoids, in Semigroups and Applications (eds J. M. Howie, N. Ruškuc)World Scientific, Singapore, 1998, 125-140. Zbl0971.20040MR1715673
  14. [14] K.I. Rosenthal, Etendues and categories with monic maps, J. Pure and Applied Algebra22 (1981), 193-212. Zbl0473.18004MR624572
  15. [15] B.R. Tennison, Sheaf theory, CUP, 1975. Zbl0313.18010MR404390

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