Convenient affine algebraic varieties

Paul Cherenack

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 4, page 315-346
  • ISSN: 1245-530X

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Cherenack, Paul. "Convenient affine algebraic varieties." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.4 (1990): 315-346. <http://eudml.org/doc/91467>.

@article{Cherenack1990,
author = {Cherenack, Paul},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {cartesian closed category; category of convenient affine algebraic varieties; quotient operations},
language = {eng},
number = {4},
pages = {315-346},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Convenient affine algebraic varieties},
url = {http://eudml.org/doc/91467},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Cherenack, Paul
TI - Convenient affine algebraic varieties
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 4
SP - 315
EP - 346
LA - eng
KW - cartesian closed category; category of convenient affine algebraic varieties; quotient operations
UR - http://eudml.org/doc/91467
ER -

References

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  1. 1 P. Cherenack, A Cartesian closed extension of a category of affine schemes, Cahiers Top. et Géom. Diff.XXIII-3 (1982). 298-318. Zbl0499.18004MR675340
  2. 2 P. Cherenack, Algebraic transversality in Global Analysis-Analysis on Manifolds (dedicated to M. Morse; ed. T. Rassias) Teubner Texte Band 57, Teubner1983. Zbl0519.14003MR730597
  3. 3 P. Cherenack.Cones and comparisons, in ind-affine homotopy theory, Quaestiones Math.6 (1983), 49-66. Zbl0519.14013MR700239
  4. 4 P. Cherenack, Extending schemes to a Cartesian closed category, Quaestiones Math.9 (1986), 95-133. Zbl0653.14001MR862296
  5. 5 A. Frölicher, Smooth structures in category theory. Lecture Notes in Math.962. Springer (1982). Zbl0498.58004MR682945
  6. 6 M. Golubitsky & Guillemin.Stable mappings and their singularities. Springer1973. Zbl0294.58004MR341518
  7. 7 A. Grothendieck.Techniques de construction et théorèmes d'existence en Géométrie Algébrique. IV. in Séminaire Bourbaki 1960/61. Benjamin. 1966. 
  8. 8 R. Hartshorne, Algebraic Geometry. Springer. 1977. Zbl0367.14001MR463157
  9. 9 D. Knutson, Algebraic spaces. Springer. 1971. Zbl0221.14001MR302647
  10. 10 S. Mac Lane.Categories for the working mathematician. Springer. 1971. Zbl0906.18001MR1712872
  11. 11 L.D. Nel, Topological universes and smooth Gelfand-Naimark duality. Contemporary Math.30 (1984), 244-276. Zbl0548.46054MR749775

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