Algebraic & Geometric Topology Volume 12, issue 1 (2012)

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Associahedra and weak monoidal structures on categories

Zbigniew Fiedorowicz, Steven Gubkin and Rainer M Vogt

Algebraic & Geometric Topology 12 (2012) 469–492

DOI: 10.2140/agt.2012.12.469

Bibliography

1	C Balteanu, Z Fiedorowicz, R Schwänzl, R M Vogt, Iterated monoidal categories, Adv. Math. 176 (2003) 277 MR1982884
2	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
3	Z Fiedorowicz, S Gubkin, R M Vogt, Associahedra and weak monoidal structures on categories arXiv:1005.3979v4
4	V Ginzburg, M Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203 MR1301191
5	A Joyal, R Street, Braided tensor categories, Adv. Math. 102 (1993) 20 MR1250465
6	B Keller, Introduction to A–infinity algebras and modules, Homology Homotopy Appl. 3 (2001) 1 MR1854636
7	M L LaPlaza, Coherence for associativity not an isomorphism, J. Pure Appl. Algebra 2 (1972) 107 MR0297833
8	T Leinster, Higher operads, higher categories, 298, Cambridge Univ. Press (2004) MR2094071
9	S Mac Lane, Natural associativity and commutativity, Rice Univ. Studies 49 (1963) 28 MR0170925
10	J P May, Definitions: operads, algebras and modules, from: "Operads : Proceedings of Renaissance Conferences (Hartford, CT/Luminy, 1995)" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 1 MR1436912
11	D Quillen, Higher algebraic K–theory. I, from: "Algebraic K–theory, I : Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, WA, 1972)" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 85 MR0338129
12	J D Stasheff, Homotopy associativity of H–spaces. I, II, Trans. Amer. Math. Soc. 108 (1963) 275, 293 MR0158400
13	J D Stasheff, The pre-history of operads, from: "Operads : Proceedings of Renaissance Conferences (Hartford, CT/Luminy, 1995)" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math., Amer. Math. Soc. (1997) 9 MR1436913
14	J D Stasheff, How I “met” Dov Tamari, from: "Associahedra, Tamari Lattices and Related Structures Associahedra, Tamari Lattices and Related Structures" (editors F Müller-Hoissen, J M Pallo, J Stasheff), Progress in Math. 299, Springer (2012)
15	D Tamari, Monoïdes préordonnés et chaînes de Malcev, PhD thesis, Université de Paris (1951) MR0051833
16	D Tamari, The algebra of bracketings and their enumeration, Nieuw Arch. Wisk. 10 (1962) 131 MR0146227
17	Wikipedia, Tamari lattice, Wikipedia, The Free Encyclopedia (2012)