Embedding manifolds with boundary in smooth toposes

Gonzalo E. Reyes

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2007)

  • Volume: 48, Issue: 2, page 83-103
  • ISSN: 1245-530X

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Reyes, Gonzalo E.. "Embedding manifolds with boundary in smooth toposes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 48.2 (2007): 83-103. <http://eudml.org/doc/91717>.

@article{Reyes2007,
author = {Reyes, Gonzalo E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {2},
pages = {83-103},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Embedding manifolds with boundary in smooth toposes},
url = {http://eudml.org/doc/91717},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Reyes, Gonzalo E.
TI - Embedding manifolds with boundary in smooth toposes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2007
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 48
IS - 2
SP - 83
EP - 103
LA - eng
UR - http://eudml.org/doc/91717
ER -

References

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  1. [1] M. Artin, A. Grothendieck and J.L. Verdier, Théorie des topos et cohomologie étale des schémas, Séminaire de Géométrie Algèbrique du Bois-Marie 1963-1964. Lecture Notes in Math,vol 269, Springer-Verlag, (1972). Zbl0234.00007MR354653
  2. [2] E. Dubuc, Sur les modèles de la géométrie différentielle synthétique, Cahiers Top.Geom.Diff, 20, (1979), 234-279. Zbl0473.18008MR557083
  3. [3] V. Guillemin and A. Pollack, Differential Topology, Prentice-Hall, Inc., Englewood Cliffs, New Jersey (1974). Zbl0361.57001MR348781
  4. [4] A. Kock, Synthetic Differential Geometry, Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney (1981). Zbl1091.51002MR649622
  5. [5] A. Kock, Properties of well-adapted models for synthetic differential geometry, J.Pure Appl. Alg. 20 (1981), 55-70. Zbl0487.18006MR596153
  6. [6] A. Kock and G.E. Reyes, Models for synthetic integration theory, Math.Scand. 48 (1981) 145-152. Zbl0485.51017MR631331
  7. [7] R. Lavendhomme, Basic Concepts of Synthetic Differential Geometry, Kluwer Academic Publishers, Dordrecht, Boston, London (1996). Zbl0866.58001MR1385464
  8. [8] B. Malgrange, Ideals of differentiable fonctions, Oxford Univ. Press (1966) Zbl0177.17902
  9. [9] I. Moerdijk and G.E. Reyes, Models for Synthetic Differential Geometry, Springer-Verlag (1991). Zbl0535.18003MR1083355
  10. [10] J.R. Munkres, Elementary Differential Topology, Annals of Math. Studies 54, Princeton (1966). Zbl0161.20201MR198479
  11. [11] H. Porta and G.E. Reyes, Variétés à bord et topos lisses, Séminaire de Géométrie différentielle synthétique, Rapports de Recherches, Dept. de mathématiques, Université de Montréal (1980). 
  12. [12] A. Weil, Théorie des points proches sur les variétés différentiables, Colloq.Top. et Géom. Diff. Strasbourg 1953, 111-117. Zbl0053.24903MR61455

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