By Kamps K.H., Porter T.

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Ke] Kelly, G. : The Basic Concepts of Enriched Category Theory, London Math. Soc. Lecture Notes 64, Cambridge Univ. Press, 1983. [KS] Kelly, G. M. : Review of the elements of 2-categories, In: Category Seminar (Sydney, 1972/73), Lecture Notes in Math. 420, Springer, Berlin, 1974, pp. 75–103. CT/0106240, Cambridge, 2001. : A survey of definitions of n-category, Theory Appl. Categ. 10 (2002), 1–70. : Sur une notion de 3-cat´egorie adapt´ee a` l’homotopie, Preprint, AGATA, Univ. Montpellier II, 1994.

Sur la notion de diagramme homotopiquement coh´erent, 3`eme Colloque sur les Cat´egories, Amiens, 1980, Cahiers Top. G´eom. Diff. 23 (1982), 93–112. -M. : Vogt’s theorem on categories of coherent diagrams, Math. Proc. Cambridge Philos. Soc. 100 (1986), 65–90. Crans, S. : A tensor product for Gray-categories, Theory Appl. Categ. 5 (1999), 12– 69. : Cat´egories structur´ees III: Quintettes et applications covariantes, Cahiers Topologie G´eom. Diff´erentielle Categ. 5 (1963), 1–22. Eilenberg, S.

We would also like to express our thanks to the referees of K-theory whose pertinent comments and suggestions have helped both the structure and the content of this review article. Furthermore, the second author would like to acknowledge the support of the FernUniversit¨at 408 K. H. KAMPS AND T. PORTER during his visits and for the excellent facilities during the time this paper was being written. References [Ba] [Be] [Bo1] [Bo2] [BHKP] [BH] [BM] [Con] [Cor] [CP] [Cr] [E] [EK] [ES] [FM] [GZ] [Gran] [GMD] [Gro] [Gray] [GWL] [HKK] Batanin, M.