Baez, J. and J., Dolan, Higher-dimensional algebra and topological quantum field theory, J. Math. Phys. 36 (1995), no. 11, 6073–6105.Google Scholar

Baez, J. and M., Neuchl, Higher-dimensional algebra. I. Braided monoidal 2-categories, Adv. Math. 121 (1996), no. 2, 196–244.Google Scholar

Batanin, M.Monoidal globular categories as a natural environment for the theory of weak n-categories, Adv. Math. 136 (1998a), no. 1, 39–103.Google Scholar

Batanin, M.The Eckmann-Hilton argument, higher operads, and En-spaces, E-print math.CT/0207281.

Batanin, M.Computads for finitary monads on globular sets, in Higher Category Theory, Contemp. Math. 230, Amer. Math. Soc., Providence, RI, 1998b, 37–57.

Batanin, M. D.-C. Cisinski, and M., Weber, Algebras of higher operads as enriched categories II, E-print arXiv:0909.4715.

Bénabou, J.Introduction to bicategories, in Reports of the Midwest Category Seminar, Lecture Notes in Math. 47, Springer-Verlag, Berlin, 1967, 1–77.

Berger, C.A cellular nerve for higher categories, Adv. Math. 169 (2002), no. 1, 118–175.Google Scholar

Berger, C.Double loop spaces, braided monoidal categories and algebraic 3-types of space, in Higher Homotopy Structures in Topology and Mathematical Physics, Contemp. Math. 227, Amer. Math. Soc., Providence, RI, 1999, 49–66.

Betti, R., A., Carboni, R., Street, and R., Walters, Enrichment through variation, J. Pure Appl. Algebra 29 (1983), 109–127.Google Scholar

Blackwell, R., G. M., Kelly, and A. J., Power, Two-dimensional monad theory, J. Pure Appl. Algebra 59 (1989), 1–41.Google Scholar

Carrasco, P., A. M., Cegarra, A. R., Garzón, Classifying spaces for braided monoidal categories and lax diagrams of bicategories, Adv. Math. 226 (2011), no. 1, 419–483.Google Scholar

Cheng, E. and N., Gurski, The periodic table of n-categories for low-dimensions I: degenerate categories and degenerate bicategories, in Categories in Algebra, Geometry and Mathematical Physics, Contemp. Math. 431, Amer. Math. Soc., Providence, RI, 2007, 143–164.

Cheng, E. and N., Gurski, The periodic table of n-categories for low-dimensions II: degenerate tricategories, Cahiers Topologie Géom. Différentielle Catég. 52 (2011), no 2, 82–125.Google Scholar

Crans, S.A tensor product for Gray-categories, Theory Appl. Categ. 5 (1999), 12–69.Google Scholar

Crans, S.On braidings, syllepses, and symmetries, Cahiers Topologie Géom. Différentielle Catég. 41 (2000), 2–74.Google Scholar

Day, B. and R., Street, Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997), no. 1, 99–157.Google Scholar

Eilenberg, S. and G. M., Kelly, Closed Categories, Proceedings of the Conference on Categorical Algebra (La Jolla, 1965), Springer-Verlag, Berlin, 1966, 421–526.

Garner, R.Homomorphisms of higher categories, Adv. Math. 224 (2010), no. 6, 2269–2311.Google Scholar

Garner, R. and N., Gurski, The low-dimensional structures formed by tricategories, Math. Proc. Cam. Phil. Soc. 146 (2009), no. 3, 551–589.Google Scholar

Gordon, R. and A. J., Power, Enrichment through variation, J. Pure Appl. Algebra 120 (1997), no. 2, 167–185.Google Scholar

Gordon, R., A. J., Power, and R., Street, Coherence for Tricategories, Mem. Amer. Math. Soc. 117 (1995), no. 558.Google Scholar

Gray, J. W.Formal category theory: Adjointness for 2-categories, Lecture Notes in Math. 391, Springer-Verlag, Berlin, 1974.

Gray, J. W.Coherence for the tensor product of 2-categories, and braid groups, in Algebra, Topology, and Category Theory (a collection in honor of Samuel Eilenberg), Academic Press, New York, 1976, 63–76.

Grothendieck, A.Pursuing Stacks, Letter to Quillen, 1983.

Gurski, N.An algebraic theory of tricategories, Ph.D. Thesis, University of Chicago, 2006.

Gurski, N.Loop spaces, and coherence for monoidal and braided monoidal bicategories, Adv. Math. 226 (2011), no. 5, 4225–4265.Google Scholar

Gurski, N.Biequivalences in tricategories, Theory Appl. Categories 26 (2012), 349–384.Google Scholar

Gurski, N.The Monoidal Structure of Strictification, Theory Appl. Categ. 28 (2013), 1–23.Google Scholar

Hermida, C.Representable multicategories, Adv. Math. 151 (2000), no. 2, 164–225.Google Scholar

Hovey, M.Model Categories, Mathematical Surveys and Monographs 63. American Mathematical Society, Providence, RI, 1999.

Joyal, A. and J., Kock, Weak units and homotopy 3-types, in Categories in Algebra, Geometry and Mathematical Physics, Contemp. Math. 431, Amer. Math. Soc., Providence, RI, 2007, 257–276.

Joyal, A. and R., Street, Braided tensor categories, Adv. Math. 102 (1993), no. 1, 20–78.Google Scholar

Kapranov, M. M. and V. A., Voevodsky, Braided monoidal 2-categories and Manin-Schechtman higher braid groups, J. Pure Appl. Algebra 92 (1994), no. 3, 241–267.Google Scholar

Kelly, G. M.A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, Bull. Austral. Math. Soc. 22 (1980), no. 1, 1–83.Google Scholar

Kelly, G. M.Basic Concepts of Enriched Category Theory, London Mathematical Society Lecture Note Series 64. Cambridge University Press, Cambridge, 1982.

Kelly, G. M. and R., Street, Review of the elements of 2-categories, in Category Seminar (Proceedings of the Sydney Category Theory Seminar, 1972–1973, G. M., Kelly, Ed.), Lecture Notes in Math. 420, Springer-Verlag, Berlin, 1974, 75–103.

Lack, S.A coherent approach to pseudomonads, Adv. Math. 152 (2000), no. 2, 179–202.Google Scholar

Lack, S.Codescent objects and coherence, Special volume celebrating the 70th birthday of Professor Max Kelly, J. Pure Appl. Algebra 175 (2002a), no. 1–3, 223–241.Google Scholar

Lack, S.A Quillen model structure for 2-categories, K-Theory 26 (2002b), no. 2, 171–205.Google Scholar

Lack, S.A Quillen model structure for bicategories, K-Theory 33 (2004), no. 3, 185–197.Google Scholar

Lack, S.Bicat is not triequivalent to Gray<, Theory Appl. Categ. 18 (2007), 1–3.Google Scholar

Lack, S.Icons, Appl. Cat. Str. 18 (2010a), no. 3, 289–307.Google Scholar

Lack, S.A 2-categories companion, in Towards Higher Categories, IMA Vol. Math. Appl. 152, Springer, New York, 2010b, 105–191.

Lack, S.A Quillen model structure for Gray-categories, J. K-Theory 8 (2011), no. 2, 183–221.Google Scholar

Lack, S. and S., Paoli, 2-nerves for bicategories, K-Theory 38 (2008), 153–175.Google Scholar

Lack, S. and R., Street, The formal theory of monads. II, Special volume celebrating the 70th birthday of Professor Max Kelly, J. Pure Appl. Algebra 175 (2002), no. 1–3, 243–265.Google Scholar

Leinster, T.A survey of definitions of n-category, Theory Appl. Categ. 10 (2002), 1–70 (electronic).Google Scholar

Leinster, T.Higher Operads, Higher Categories, London Mathematical Society Lecture Note Series 298, Cambridge University Press, Cambridge, 2004.

Lewis, G.Coherence for a closed functor, in Coherence in Categories (S. Mac, Lane, Ed.), Lecture Notes in Math. 281, Springer-Verlag, Berlin, 1972, 148–195.

Mac Lane, S.Natural associativity and commutativity, Rice University Studies 49 (1963), 28–46.Google Scholar

Mac Lane, S. and R., Paré, Coherence for bicategories and indexed categories, J. Pure Appl. Algebra 37 (1985), 59–80.Google Scholar

Power, A. J.A general coherence result, J. Pure Appl. Algebra 57 (1989), 165–173.Google Scholar

Power, A. J.Three dimensional monad theory, in Categories in Algebra, Geometry and Mathematical Physics, Contemp. Math. 431, Amer. Math. Soc., Providence, RI, 2007, 405–426.

Simpson, C.Homotopy types of strict 3-groupoids, E-print math. CT/9810059.

Street, R.The formal theory of monads, J. Pure Appl. Algebra 2 (1972), no. 2, 149–168.Google Scholar

Street, R.Fibrations and Yoneda's lemma in a 2-category, in Category Seminar (Proceedings of the Sydney Category Theory Seminar, 1972–1973, G. M., Kelly, Ed.), Lecture Notes in Math. 420, Springer-Verlag, Berlin, 1974, 104–133.

Street, R.Fibrations in bicategories, Cahiers Topologie Géom. Différentielle Catég. 21 (1980), 111–160.Google Scholar

Street, R.Correction to “Fibrations in bicategories”, Cahiers Topologie Géom. Différentielle Catég. 28 (1987a), 53–56.Google Scholar

Street, R.The algebra of oriented simplexes, J. Pure Appl. Algebra 49 (1987b), 283–335.Google Scholar

Street, R.Gray's tensor product of 2-categories, Handwritten Notes, February 1988.

Street, R.Categorical structures, in Handbook of Algebra, Vol. 1, North-Holland, Amsterdam, 1996, 529–577.

Street, R.Weak omega-categories, in Diagrammatic Morphisms and Applications (San Francisco, CA, 2000), Contemp. Math. 318, Amer. Math. Soc., Providence, RI, 2003, 207–213.

Stasheff, J. D.Homotopy associativity of H-spaces. I, Trans. Amer. Math. Soc. 108 (1963), 275–292.Google Scholar

Tamsamani, Z.Sur des notions de n-catégorie et n-groupoïde non strictes via des ensembles multi-simpliciaux, K-Theory 16 (1999), no. 1, 51–99.Google Scholar

Trimble, T.Notes on tetracategories, available online at http://math.ucr.edu/home/baez/trimble/tetracategories.html.

Verity, D.Enriched categories, internal categories, and change of base, Ph.D. thesis, University of Cambridge, 1992. Available as Macquarie Mathematics Report 93–123.

Wolff, H.V-cat and V-graph, J. Pure Appl. Algebra 4 (1974), 123–135.Google Scholar