A cartesian closed extension of a category of affine schemes

Paul Cherenack

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 3, page 291-316
  • ISSN: 1245-530X

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Cherenack, Paul. "A cartesian closed extension of a category of affine schemes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.3 (1982): 291-316. <http://eudml.org/doc/91305>.

@article{Cherenack1982,
author = {Cherenack, Paul},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {category of reduced affine schemes; Cartesian closed field; jet spaces; internal hom-functor; inductive limit; ringed spaces; filtration; limits; coproducts},
language = {eng},
number = {3},
pages = {291-316},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A cartesian closed extension of a category of affine schemes},
url = {http://eudml.org/doc/91305},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Cherenack, Paul
TI - A cartesian closed extension of a category of affine schemes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 3
SP - 291
EP - 316
LA - eng
KW - category of reduced affine schemes; Cartesian closed field; jet spaces; internal hom-functor; inductive limit; ringed spaces; filtration; limits; coproducts
UR - http://eudml.org/doc/91305
ER -

References

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  1. 1 T. Brocker, Differentiable germs and catastrophes, Cambridge Univ. Press, Cambridge, 1975. Zbl0302.58006MR494220
  2. 2 P. Cherenack, Basic aspects of unirational homotopy theory, Q uestiones Math.3 (1978), 83-113. Zbl0392.14004MR518171
  3. 3 P. Cherenack, Internal hom-sets in an extension of affine schemes over a field, in Algebraic Geometry, Proc. Summer Meet. Copenh. 1978, Springer. Zbl0406.14009MR555689
  4. 4 M. Demazure & P. Gabriel, Groupes algébriques I, North Holland, 1970. 
  5. 5 C. Ehresmann, Les prolongements d'une variété différentiable I, C. R. A. S.Paris233 (1951), 598-600. Zbl0043.17401MR44198
  6. 6 M. Golubitsky & V. Guill Emin, Stable mappings and their singularities, Springer, 1973. Zbl0294.58004MR341518
  7. 7 A. Grothendick, Eléments de géométrie algébrique I, Springer, 1970. 
  8. 8 R. Hartshorne, Algebraic Geometry, Springer, 1977. Zbl0367.14001MR463157
  9. 9 P.J. Huber, Homotopy theory in general categories, Math. Annal.144 (1961) 361-385. Zbl0099.17905MR150184
  10. 10 S. Lang, Hilbert's Nullstellensatz in infinite dimensional space, Proc. A.M. S.3(1952), 407-410. Zbl0049.30405MR47019
  11. 11 S. Mac Lane, Categories for the working mathematician, Springer, 1971. Zbl0906.18001MR1712872
  12. 12 R.L. Vander Waerden, Modern Algebra, Ungar Publ. Co, New-York, 1940. Zbl0039.00902

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