The left derived tensor product of 𝒞𝒜𝒯 valued diagrams
Heggie, Murray
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 33 (1992), p. 33-53 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1992-01-01
@article{CTGDC_1992__33_1_33_0,
     author = {Heggie, Murray},
     title = {The left derived tensor product of $\mathcal {CAT}$ valued diagrams},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {33},
     year = {1992},
     pages = {33-53},
     mrnumber = {1163426},
     zbl = {0779.18009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_1992__33_1_33_0}
}

Heggie, Murray. The left derived tensor product of $\mathcal {CAT}$ valued diagrams. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 33 (1992) pp. 33-53. http://gdmltest.u-ga.fr/item/CTGDC_1992__33_1_33_0/

1 J. Benabou, Les Distrib-uteurs, Rapport no. 33, janvier 1973, Seminair des Mathematiques Pure, Institut de Mathematique Pure et Appliquee, Universite Catholique de Louvain.

2 P. Gabriel and M. Zisman, Calculus of Fractions and Homotopy Theory, Ergebnisse der Math ematik und ihrer Grenzgebiete, Band 35, Springer Verlag, Berlin and New York, 1967. | MR 210125 | Zbl 0186.56802

3 J. Giraud, Methode de la Descente, Bull. Soc. Math. France, no. Memoire 2 (1964). | Numdam | MR 190142 | Zbl 0211.32902

4 J. Gray, Fibred and Co-Fibred Categories, Conference on Categorical Algebra, Springer Verlag, Berlin and New York, 1965, pp. 21-83. | MR 213413 | Zbl 0192.10701

5 ____, The Representation of Limits, Lax Limits and Homotopy Limits as Sections, Mathematical Applications of Category Theory, Amer. Math. Soc. Contemporary Math. Series 30, 1984. | MR 749769 | Zbl 0541.18010

6 R. Guitart, Des Machines aux Bimodules, Thèse, Amiens, 1979.

7 R. Guitart and L. Van Den Bril, Calcul des Satellites et Presentation des bimodules a l'Aide des Carres Exactes, Cahiers de Topologie et Geometrie Differentielle XXIV-3 (1983), 299-330. | Numdam | MR 728635 | Zbl 0533.18007

8 M. Heggie, Tensor Products in Homotopy Theory, Ph.D. Thesis, McGill University, 1986.

9 G.M. Kelly, Basic Concepts of Enriched Category Theory, London Math. Soc. Lecture Note Series 64, Cambridge University Press, Cambridge, 1982. | MR 651714 | Zbl 0478.18005

10 S. Maclane, Categories for the Working Mathematician, Graduate Texts in Mathematics, no. 5, Springer Verlag, Berlin and New York, 1971. | MR 354798 | Zbl 0232.18001

11 R. Paré, Connected Components and Colimits, Journal of Pure and Applied Algebra 3 (1973), 21-42. | MR 338112 | Zbl 0255.18003

12 D. Quillen, Homotopical Algebra, Lecture Notes in Math. 43, Springer Verlag, Berlin and New York, 1967. | MR 223432 | Zbl 0168.20903

13 ____, Higher Algebraic K-Theory I, Lecture Notes in Mathematics 341, Springer Verlag, Berlin and New York, 1973, pp. 85-147.

14 R. Thomason, Homotopy Colimits in the Category of Small Categories, Math. Proc. Camb. Phil. Soc. 85 (1979), 91-109. | MR 510404 | Zbl 0392.18001