Liftings of Stone's monadicity to spaces and the duality between the calculi of inverse and direct images

Pierre Damphousse; René Guitart

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1999)

  • Volume: 40, Issue: 2, page 141-157
  • ISSN: 1245-530X

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Damphousse, Pierre, and Guitart, René. "Liftings of Stone's monadicity to spaces and the duality between the calculi of inverse and direct images." Cahiers de Topologie et Géométrie Différentielle Catégoriques 40.2 (1999): 141-157. <http://eudml.org/doc/91616>.

@article{Damphousse1999,
author = {Damphousse, Pierre, Guitart, René},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Stone spaces; direct images; inverse images; duality; algebraic functors; Stone's monadicity; monads},
language = {eng},
number = {2},
pages = {141-157},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Liftings of Stone's monadicity to spaces and the duality between the calculi of inverse and direct images},
url = {http://eudml.org/doc/91616},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Damphousse, Pierre
AU - Guitart, René
TI - Liftings of Stone's monadicity to spaces and the duality between the calculi of inverse and direct images
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1999
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 40
IS - 2
SP - 141
EP - 157
LA - eng
KW - Stone spaces; direct images; inverse images; duality; algebraic functors; Stone's monadicity; monads
UR - http://eudml.org/doc/91616
ER -

References

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  1. 1 Barr M.Coalgebras in a Category ofAlgebras, p. 1-12. SLN 86, Category Theory, Homology Theory and their applications I, 1969. Zbl0211.03502MR244334
  2. 2 Damphousse P. and Guitart R.Les representations naturelles de PX dans PPX. Journées C.A.E.N., 27-30 Sept. 1994, pp. 115-120. 
  3. 3 Guitart R.Topologie dans les univers algébriques. In Nordwestdeutsches Kategorienseminar, pages 59-97, Universität Bremen, Dezember 1976. Zbl0448.18002MR480683
  4. 4 Guitart R.Qu'est-ce que la logique dans une catégorie ? Troisième colloque sur les catégories dédiés à Charles Ehresmann, Amiens Juillet 1980, CTGDXXIII, 1982. Zbl0496.18002MR599050
  5. 5 Lawvere F.W.Quantifiers and Sheaves. In Actes du congrès international des mathématiciens, pages 329-334, 1970. Zbl0261.18010MR430021
  6. 6 Mac Lane Saunders.Categories for the Working Mathematician. Springer Verlag, New YorkHeidelbergBerlin, 1971. Zbl0232.18001
  7. 7 Stone M. H.The theory of representation for boolean algebras. Trans. Amer. Math. Soc., 40:37-111, 1936. Zbl0014.34002MR1501865
  8. 8 Stone M. H. The representation ofBoolean Algebras. Bull. Amer. Math. Soc., 44:807-816, 1938. Zbl0020.34204JFM64.0030.04

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