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A canonical action on indexed limits an application to coherent homotopy

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Category Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 962))

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References

  1. C. Auderset, Adjonctions et monades au niveau des 2-catégories, Cahiers de Top. et Géom. Diff., XV (1974), 3–20.

    MathSciNet  MATH  Google Scholar 

  2. J. Benabou, les distributeurs, Inst. Math. Pures et Appl. Univ. Louvain la Neuve Rapport no 33 (1973).

    Google Scholar 

  3. F. Borceux and G.M. Kelly, A notion of limit for enriched categories, Bull. of the Australian Math. Soc., 12 (1975) 45–72.

    Article  MathSciNet  MATH  Google Scholar 

  4. D. Bourn, Natural anadeses and catadeses, Cahiers de Top. et Géom. Diff. XIV (1974) 371–480.

    MathSciNet  MATH  Google Scholar 

  5. D. Bourn and J.M. Cordier, Distributeurs et théorie de la forme, Cahiers de Top. et Géom. Diff., XXI (1980) 161–189.

    MathSciNet  MATH  Google Scholar 

  6. D. Bourn and J.M. Cordier, Une formulation générale des limites homotopiques, Notes, Univ. Amiens (1980).

    Google Scholar 

  7. A.K. Bousfield and D.M. Kan, Homotopylimits, completions and localizations, Springer Lecture Notes in Math., 304 (1972).

    Google Scholar 

  8. J.M. Cordier, Sur la notion de diagramme homotopiquement coherent, Proceedings 3ème colloque sur les catégories Amiens 1980 (à paraître).

    Google Scholar 

  9. E.J. Dubuc, Kan extensions in enriched category, Springer Lecture Notes in Math., 106 (1969).

    Google Scholar 

  10. W.G. Dwyer and D.M. Kan, Simplicial localizations of categories, Journal of P.A. Algebra, 17 (1980) 267–284.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Dydak, A simple proof that pointed FANR-spaces are regular fundamental retracts of ANR's, Bull. Acad. Polon. Sci. Math., 25(1977) 55–62.

    MathSciNet  MATH  Google Scholar 

  12. P. Freyd and A. Heller (in preparation).

    Google Scholar 

  13. J.W. Gray, Formal category theory, Springer Lecture Notes in Math., 391 (1974).

    Google Scholar 

  14. J.W. Gray, Closed categories, lax limits, homotopylimits, Journal of P.A. Algebra, 19 (1980) 127–158.

    Article  MATH  Google Scholar 

  15. F.W. Lawvere, Teoria delle categorie sopra un topos di base, Mimeographed notes, Perugia (1973).

    Google Scholar 

  16. G.B. Segal, Categories and cohomology theories, Topology, 13,(1974), 293–312.

    Article  MathSciNet  MATH  Google Scholar 

  17. R. Street, Limits indexed by category valued 2-functors, Journal of P.A. Algebra, 8 (1976), 149–181.

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Thiebaud, Self-dual structure semantics and algebraic categories, Dalhousie Univ., Halifax, N.S., (1971).

    Google Scholar 

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Authors and Affiliations

  1. Université de Picardie U.E.R. de Mathématiques, 33, rue St Leu, 80039, Amiens, France

    Dominique Bourn

Authors
  1. Dominique Bourn
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Editor information

Klaus Heiner Kamps Dieter Pumplün Walter Tholen

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© 1982 Springer-Verlag

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Bourn, D. (1982). A canonical action on indexed limits an application to coherent homotopy. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066882

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  • DOI: https://doi.org/10.1007/BFb0066882

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11961-6

  • Online ISBN: 978-3-540-39550-8

  • eBook Packages: Springer Book Archive

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