The display locale of a cosheaf

J. Funk

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1995)

  • Volume: 36, Issue: 1, page 53-93
  • ISSN: 1245-530X

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Funk, J.. "The display locale of a cosheaf." Cahiers de Topologie et Géométrie Différentielle Catégoriques 36.1 (1995): 53-93. <http://eudml.org/doc/91560>.

@article{Funk1995,
author = {Funk, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {cosheaf; Lawvere distributions; topos of sheaves; complete spread; locale; folded coverings; complete metric space; Grothendieck topos},
language = {eng},
number = {1},
pages = {53-93},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The display locale of a cosheaf},
url = {http://eudml.org/doc/91560},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Funk, J.
TI - The display locale of a cosheaf
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1995
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 36
IS - 1
SP - 53
EP - 93
LA - eng
KW - cosheaf; Lawvere distributions; topos of sheaves; complete spread; locale; folded coverings; complete metric space; Grothendieck topos
UR - http://eudml.org/doc/91560
ER -

References

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  1. [1] G.M. Bergman, Co-rectangular bands and cosheaves in categories of algebras, Algebra Universalis28 (1991), 188-213. Zbl0692.18004MR1106054
  2. [2] M. Bunge, Cosheaves and distributions on toposes, to appear in Algebra Universalis, Alan Day Issue. Zbl0863.18002MR1357478
  3. [3] C.H. Dowker and D. Papert, Quotient frames and subspaces, Proc. Lond. Math. Soc. (3) 16 (1966), 275-96. Zbl0136.43405MR202648
  4. [4] J. Dugundji, Topology, Allyn & Bacon, 1966. Zbl0144.21501MR193606
  5. [5] R.H. Fox, Covering spaces with singularities, in: R. H. Fox et al (editors), Algebraic Geometry and Topology A Symposium in Honor of (editors), Algebraic Geometry and Topology: A Symposium in Honor of S. Lefschetz, Princeton University Press, Princeton, 1957, 243-257. Zbl0079.16505MR123298
  6. [6] R.H. Fox, Shape theory and covering spaces, in: R. F. Dickman Jr. et al (editors), Topology Conference, Virginia Polytechnic Inst. and State Univ.1973, Lecture Notes in Math.375, Springer-Verlag, Berlin-Heidelberg -New York, 1974, 71-90. Zbl0288.55011MR368007
  7. [7] J. Funk, Descent for Cocomplete Cotegories, Ph. D. Thesis, McGill University, 1990. 
  8. [8] J. Funk, The cocontinuous dual of a topos, Reports of the Dept. of Math. & Stats. no. 91-25, McGill University, 1991. 
  9. [9] P.T. Johnstone, Topos Theory, L.M. S. Mathcma,tical Monographs no. 10, Academic Press, London-New York -San Francisco, 1977. Zbl0368.18001MR470019
  10. [10] P.T. Johnstone, Stone Spaces, Cambridge University Press, Cambridge, 1982. Zbl0499.54001MR698074
  11. [11] A. Joyal and M. Tierney, An extension of the Galois theory of Grothendieck, Mem. of the Amer. Math. Soc.51, Amer. Math. Soc. (1984), no. 309. Zbl0541.18002MR756176
  12. [12] S. Mac Lane and I. Moerdijk, Sheaves in Geometry and Logic, Sringer-Verlag, Berlin-Heidelberg-New York, 1992. Zbl0822.18001MR1300636
  13. [13] M. Makkai and R. Paré, Accessible Categories: The Foundations of Categorical Model Theory, Contemporary Mathematics104, Amer. Math. Soc., 1989. Zbl0703.03042MR1031717
  14. [14] E. Michael, Cuts, Acta Math.111 (1964), 1-36. Zbl0121.39302MR167968
  15. [15] R. Paré, Indexed categories and generated topologies, J. Pure Appl. Alg.19 (1980), 385-400. Zbl0444.18003MR593260
  16. [16] A.M. Pitts, On product and change of base for loposes, Cahiers Top. Géom. Diff. Cat.XXVI-1 (1985), p. 43-61. Zbl0574.18003
  17. [17] I. Kříž and A. Pultr, Peculiar behavior of connected locales, Cahiers Top. Géom. Diff. Cat.XXX-1 (1989), p. 25-43. Zbl0668.06007MR1000829
  18. [18] A.W. Tucker, Branched and folded coverings, Bull. Amer. Math. Soc.42 (1936), 859-862. Zbl0015.37505JFM62.0665.01

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