Ordered groupoids and étendues
Lawson, Mark V. ; Steinberg, Benjamin
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 45 (2004), p. 82-108 / Harvested from Numdam
@article{CTGDC_2004__45_2_82_0,
     author = {Lawson, Mark V. and Steinberg, Benjamin},
     title = {Ordered groupoids and \'etendues},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {45},
     year = {2004},
     pages = {82-108},
     mrnumber = {2072933},
     zbl = {1060.18002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2004__45_2_82_0}
}
Lawson, Mark V.; Steinberg, Benjamin. Ordered groupoids and étendues. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 45 (2004) pp. 82-108. http://gdmltest.u-ga.fr/item/CTGDC_2004__45_2_82_0/

[1] M. Artin, A. Grothendieck, J.L. Verdier, Théorie des topos et cohomologie étale des schémas Lecture Notes in Mathematics 269, Springer-Verlag, 1972. | MR 354653

[2] Ch. Ehresmann, Oeuvres complètes et commentées, (ed. A. C. Ehresmann) Supplements to Cahiers de Topologie et Géometrie Différentielle, Amiens, 1980-83.

[3] P.J. Freyd, A. Scedrov, Categories, allegories, North-Holland, 1990. | MR 1071176 | Zbl 0698.18002

[4] A. Kock, I. Moerdijk, Presentations of étendues, Preprint Aarhus Universitet, 1990. | Numdam | MR 1142688

[5] A. Kock, I. Moerdijk, Presentations of étendues, Cahiers de Topologie et Géométrie Différentielle Catégoriques 32 (1991), 145-164. | Numdam | MR 1142688 | Zbl 0745.18001

[6] H. Lausch, Cohomology of inverse semigroups, J. Algebra 35 (1975), 273-303. | MR 382521 | Zbl 0318.20032

[7] M.V. Lawson, Inverse semigroups: the theory of partial symmetries, World-Scientific, Singapore, 1998. | MR 1694900 | Zbl 1079.20505

[8] M.V. Lawson, Left cancellative categories and ordered groupoids, Preprint University of Wales Bangor, 2003.

[9] J. Leech, Constructing inverse semigroups from small categories, Semigroup Forum 36 (1987), 89-116. | MR 902733 | Zbl 0634.18002

[10] M. Loganathan, Cohomology of inverse semigroups, J. of Algebra 70 (1981), 375-393. | MR 623815 | Zbl 0465.20063

[11] S. Mac Lane, Categories for the working mathematician, Springer-Verlag, 1971. | MR 1712872 | Zbl 0232.18001

[12] S. Mac Lane, I. Moerdijk, Sheaves in geometry and logic, Springer-Verlag, 1992. | MR 1300636 | Zbl 0822.18001

[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. | MR 1715673 | Zbl 0971.20040

[14] K.I. Rosenthal, Etendues and categories with monic maps, J. Pure and Applied Algebra 22 (1981), 193-212. | MR 624572 | Zbl 0473.18004

[15] B.R. Tennison, Sheaf theory, CUP, 1975. | MR 404390 | Zbl 0313.18010