Construction of an homology and a cohomology theory associated to a first order formula

René Guitart

Diagrammes (1990)

  • Volume: 23, page 7-13
  • ISSN: 0224-3911

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Guitart, René. "Construction of an homology and a cohomology theory associated to a first order formula." Diagrammes 23 (1990): 7-13. <http://eudml.org/doc/91751>.

@article{Guitart1990,
author = {Guitart, René},
journal = {Diagrammes},
keywords = {homology; cohomology; category of models; category of interpretations; first order language; sketches; Homotopy types; cohomotopy types},
language = {eng},
pages = {7-13},
publisher = {Université Paris 7, Unité d'enseignement et de recherche de mathématiques},
title = {Construction of an homology and a cohomology theory associated to a first order formula},
url = {http://eudml.org/doc/91751},
volume = {23},
year = {1990},
}

TY - JOUR
AU - Guitart, René
TI - Construction of an homology and a cohomology theory associated to a first order formula
JO - Diagrammes
PY - 1990
PB - Université Paris 7, Unité d'enseignement et de recherche de mathématiques
VL - 23
SP - 7
EP - 13
LA - eng
KW - homology; cohomology; category of models; category of interpretations; first order language; sketches; Homotopy types; cohomotopy types
UR - http://eudml.org/doc/91751
ER -

References

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  1. [1] M. André, Méthode simpliciale en algèbre homologique et algèbre commutative, S.L.N. 32, 1967. Zbl0154.01402MR214644
  2. [2] M. Evrard, Homotopie d'un espace topologique relativement à un recouvrement. Applications à l'homotopie des préschémas, Thèse d'Etat, Université Paris 7, 1973. 
  3. [3] M. Evrard, Fibrations de petites catégories, Bull. Soc. Math. France 103, p.241-265, 1975. Zbl0345.18008MR401875
  4. [4] D. Quillen, Higher algebraic K-theory, I, S.L.N. 341, p. 85-147, 1973. Zbl0292.18004MR338129
  5. [5] R. Guitart et C. Lair, Calcul syntaxique des modèles et calcul des formules internes, Diagrammes, vol. 4, 106 p., 1980. Zbl0508.03030MR684746
  6. [6] R. Guitart et C. Lair, Limites et co-limites pour représenter les formules, Diagrammes, vol. 7, 24 p., 1982. Zbl0535.03013MR685055
  7. [7] R. Guitart, On the geometry of computations, I and II, Cahiers Top. Géo. Diff. Cat., vol. XXVII-4 ( 1986), p. 107-136, et vol. XXIX-4 ( 1988), p. 297-326. Zbl0668.18009MR885373
  8. [8] R. Guitart, L'unité de la théorie des modèles et de l'algèbre homologique (conf. at the Summer meeting on Category Theory, Louvain-la-Neuve, July 26 -Aug 1, 1987), in Cahiers Top. Géo. Diff. Cat. XXX-3 ( 1989). Zbl0695.18005

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