Convergence in some ringed toposes

A. Barbara Veit

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 3, page 245-274
  • ISSN: 1245-530X

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Veit, A. Barbara. "Convergence in some ringed toposes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.3 (1990): 245-274. <http://eudml.org/doc/91462>.

@article{Veit1990,
author = {Veit, A. Barbara},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {analysis in ringed topoi; sheaves; internal Cauchy sequences; functional convergence; convergence with subsequences; gros topos; smooth topoi; synthetic differential geometry; Whitney topology},
language = {eng},
number = {3},
pages = {245-274},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Convergence in some ringed toposes},
url = {http://eudml.org/doc/91462},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Veit, A. Barbara
TI - Convergence in some ringed toposes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 3
SP - 245
EP - 274
LA - eng
KW - analysis in ringed topoi; sheaves; internal Cauchy sequences; functional convergence; convergence with subsequences; gros topos; smooth topoi; synthetic differential geometry; Whitney topology
UR - http://eudml.org/doc/91462
ER -

References

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  3. 3 E.J. Dubuc, Sur les modèles de la géométrie différentielle synthétique, Cahiers de Top. et Géom. Diff., vol.XX-3(1979) ; Zbl0473.18008MR557083
  4. 4a E.J. Dubuc, C∞-Schemes, Matematisk Institut of the Aarhus Universitet, Preprint Series 1979/80 No.3; Zbl0428.58001
  5. 4b E.J. Dubuc, C∞-Schemes, Amer. J. Math.103(4)(1981); Zbl0483.58003
  6. 5 C. Ehresmann, Les prolongements d'une variété différentiable, C.R.A.S.Paris233(1951), pp. 598, 777 and 1081; Zbl0043.17401
  7. 6 M. Makkai and G.E. Reyes, First Order Categorical Logic, Lecture Notes in Math.611, Springer Verlag1977; Zbl0357.18002MR505486
  8. 7 I. Moerdijk and G.E. Reyes, Smooth Spaces versus Continuous Spaces in Models for Synthetic Differential Geometry, J. Pure Appl. Alg.32(1984); Zbl0535.18003MR741963
  9. 8 I. Moerdijk and G.E. Reyes, A Smooth Version of the Zariski Topos, Advances in Math.65 (1987); Zbl0648.18006MR904724
  10. 9 A. Kock, Synthetic Differential Geometry, London Math. Soc.Lecture Notes Series 51, Cambridge University Press1981; Zbl0466.51008MR649622
  11. 10 C. Kuratowski, Topologie, vol.1, 4th ed., Warszawa1958; Zbl0078.14603
  12. 11 G.E. Reyes, Théorie des modèles et faisceaux, Advances in Math.30 (1978), 156-170; Zbl0409.03040MR513847
  13. 12 G. E. Reyes (ed.), Géométrie Différentielle Synthétique, Rapports de Recherche 11 et 12, Dépt. Math. Stat. Universite de Montréal, 1981; 
  14. 13 L.A. Steen and J.A. Seebach, Counterexamples in Topology, 2nd ed., Springer Verlag1978; Zbl0386.54001MR507446
  15. 14 L.N. Stout, Topological Properties of the Real Numbers Object in a Topos, Cahiers de Top. et Géom. Diff., vol. XVII-3 (1976); Zbl0354.18010MR422023
  16. 15 A.B. Veit, Il forcing come principio logico per la costruzione dei fasci, Rend. Mat. (VI), vol.11, 3/4 (1978); Zbl0431.03024
  17. 16 A. Weil, Théorie des points proches sur les variétés différentiables, Colloq. Top. et Géom. Diff., Strasbourg1953. Zbl0053.24903MR61455

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