@article{DIA_2012__S67-68__117_0, author = {Grandis, Marco and Par\'e, Robert}, title = {From cubical to globular higher categories}, journal = {Diagrammes}, pages = {117--148}, publisher = {Universit\'e Paris 7, Unit\'e d'enseignement et de recherche de math\'ematiques}, volume = {S67-68}, year = {2012}, mrnumber = {3024904}, zbl = {1338.18030}, language = {en}, url = {http://archive.numdam.org/item/DIA_2012__S67-68__117_0/} }
TY - JOUR AU - Grandis, Marco AU - Paré, Robert TI - From cubical to globular higher categories JO - Diagrammes PY - 2012 SP - 117 EP - 148 VL - S67-68 PB - Université Paris 7, Unité d'enseignement et de recherche de mathématiques UR - http://archive.numdam.org/item/DIA_2012__S67-68__117_0/ LA - en ID - DIA_2012__S67-68__117_0 ER -
%0 Journal Article %A Grandis, Marco %A Paré, Robert %T From cubical to globular higher categories %J Diagrammes %D 2012 %P 117-148 %V S67-68 %I Université Paris 7, Unité d'enseignement et de recherche de mathématiques %U http://archive.numdam.org/item/DIA_2012__S67-68__117_0/ %G en %F DIA_2012__S67-68__117_0
Grandis, Marco; Paré, Robert. From cubical to globular higher categories. Diagrammes, Liber Amicorum, S67-68 (2012), pp. 117-148. http://archive.numdam.org/item/DIA_2012__S67-68__117_0/
[ABS] Multiple categories: the equivalence of a globular and a cubical approach, Adv. Math. 170 (2002), 71-118. | MR | Zbl
[BH1] On the algebra of cubes, J. Pure Appl. Algebra 21 (1981), 233-260. | MR | Zbl
[BH2] Tensor products and homotopies for -groupoids and crossed complexesJ. Pure Appl. Algebra 47 (1987), 1-33. | MR | Zbl
[CL] Higher-dimensional categories: an illustrated guide book, draft version, revised 2004. http://www.math.uchicago.edu/~eugenia/guidebook/index.html
[CM] Generators and relations for discrete groups, Springer, Berlin 1957. | MR | Zbl
[GPS] Coherence for tricategories, Mem. Amer. Math. Soc. 117 (1995), n.558. | MR | Zbl
[G1] Higher cospans and weak cubical categories (Cospans in Algebraic Topology, I), Theory Appl. Categ. 18 (2007), No. 12, 321-347. | MR | Zbl
[G2] Collared cospans, cohomotopy and TQFT (Cospans in Algebraic Topology, II), Theory Appl. Categ. 18 (2007), No. 19, 602-630. | MR | Zbl
[G3] Cubical cospans and higher cobordisms (Cospans in Algebraic Topology, III), J. Homotopy Relat. Struct. 3 (2008), 273-308. | MR | Zbl
[G4] The role of symmetries in cubical sets and cubical categories (On weak cubical categories, I), Cah. Topol. Géom. Différ. Catég. 50 (2009), 102-143. | Numdam | MR | Zbl
[G5] Limits in symmetric cubical categories (On weak cubical categories, II), Cah. Topol. Géom. Différ. Catég. 50 (2009), 242-272. | Numdam | MR | Zbl
[G6] A lax symmetric cubical category associated to a directed space, in preparation. Revised version of: 'A symmetric cubical category associated to a directed space', Dip. Mat. Univ. Genova, Preprint 590 (2010). | MR | Zbl
[GM] Cubical sets and their site, Theory Appl. Categ. 11 (2003), No.8 185-211. | MR | Zbl
[GP1] Limits in double categories, Cah. Topol. Géom. Différ. Catég. 40 (1999), 162-220. | Numdam | MR | Zbl
[GP2] Adjoint for double categories, Cah. Topol. Géom. Différ. Catég. 45 (2004), 193-240. | Numdam | MR | Zbl
[GP3] Kan extensions in double categories (On weak double categories, Part III), Theory Appl. Categ. 20 (2008), No. 8, 152-185. | MR | Zbl
[GP4] Lax Kan extensions for double categories (On weak double categories, Part IV), Cah. Topol. Géom. Différ. Catég. 48 (2007), 163-199. | Numdam | MR | Zbl
[Jo] Topics in the theory of presentation of groups, Cambridge Univ. Press, Cambridge 1980. | MR | Zbl
[K1] Abstract homotopy I, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 1092-1096. | MR | Zbl
[K2] Abstract homotopy. II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 255-258. | MR | Zbl
[Le] Higher operads, higher categories, Cambridge University Press, Cambridge 2004. | MR | Zbl