Sheaves for an involutive quantaloid

W. Dale Garraway

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2005)

  • Volume: 46, Issue: 4, page 243-274
  • ISSN: 1245-530X

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Garraway, W. Dale. "Sheaves for an involutive quantaloid." Cahiers de Topologie et Géométrie Différentielle Catégoriques 46.4 (2005): 243-274. <http://eudml.org/doc/91697>.

@article{Garraway2005,
author = {Garraway, W. Dale},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {category; semicategory; quantaloid; sheave},
language = {eng},
number = {4},
pages = {243-274},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Sheaves for an involutive quantaloid},
url = {http://eudml.org/doc/91697},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Garraway, W. Dale
TI - Sheaves for an involutive quantaloid
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2005
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 46
IS - 4
SP - 243
EP - 274
LA - eng
KW - category; semicategory; quantaloid; sheave
UR - http://eudml.org/doc/91697
ER -

References

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  1. [1] F. Borceux and R. CrucianiSheaves on a Quantale, Cahiers. Top. Cat, 34-3, 1993. 209-228 Zbl0793.06009MR1239469
  2. [2] U. Berni-Canani, F. Borceux and R. Succi-CrucianiA Theory of Quantale Sets, J. Pure and Applied Algebra62, 1989. 123-136 Zbl0685.18006MR1027752
  3. [3] R. Betti, A. Carboni, R. Street and R. WaltersVariation Through Enrichment, J. Pure and Applied Algebra. 29, 1983. 109 - 127 Zbl0571.18004MR707614
  4. [4] A. Carboni and R.F.C. WaltersCartesian Bicategories I, J. Pure and Applied Algebra, 49, 1987. 11-32 Zbl0637.18003MR920513
  5. [5] W. Dale GarrawayGeneralized Supremum Enriched Categories and Their Sheaves, PhD. Thesis, Dalhousie University2002 
  6. [6] P. FreydCategories Allegories, North Holland Pub. Co.1990 Zbl0698.18002MR1071176
  7. [7] R.P. GylysSheaves on Quantaloids, Lithuanian Math. J., 40-2, 2000. 133-171 Zbl0970.18010MR1806339
  8. [8] R.P. GylysSheaves on Involutive Quantaloids, Lithuanian Math J.41-1, 2001. 44 - 69 Zbl1014.18003MR1849807
  9. [9] D. HiggsInjectivity in the Topos of Complete Heyting Algebra Valued Sets, Can. J. Math,36-3, 1984. 550-568 Zbl0541.18003MR752984
  10. [10] S. MerovitzH-valued Sets and the Associated Sheaf Functor, Masters Thesis, Dalhousie University, 1996 
  11. [11] C.J. Mulvey &, Rend. Circ. Mat. Palermo Suppl. No. 21986. 99 - 104 Zbl0633.46065MR853151
  12. [12] C.J. Mulvey and M. Nawaz Quantales: Quantal Sets. Non-classical logics and their applications to fuzzy subsets, Theory Decis. Lib. Ser. B Math. Statist. Methods, 32, Kluwer Acad. Publ., Dordrecht, 1995. 159-217 Zbl0838.06014MR1345644
  13. [13] C.J. Mulvey and J.W. Pelletiera quantisation of the calculus of relations, Category Theory 1991. Montreal PQ, 1991345-360, CMS conf. proc. 13, Amer. Math. Soc., Providence RI, 1992. Zbl0793.06008MR1192157
  14. [14] M. Nawaz Quantales: Quantale Sets, PhD Thesis, University of Sussex, 1985 
  15. [15] A.M. PittsApplications of Sup-Lattice Enriched Category Theory to Sheaf Theory, Proc. London Math. Soc. (3) 57, 1988. 433-480 Zbl0619.18005MR960096
  16. [16] K. RosenthalThe Theory of Quantaloids, Pitman Research Notes in Math No. 348, 1996 Zbl0845.18003MR1427263
  17. [17] G. Van den BosscheQuantaloids and Non-Commutative Ring Representations, Applied Categorical Structures, 3, 1995. 305-320 Zbl0847.18005MR1364011

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