@article{CTGDC_2009__50_2_102_0,
author = {Grandis, Marco},
title = {The role of symmetries in cubical sets and cubical categories},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {50},
year = {2009},
pages = {102-143},
mrnumber = {2535163},
zbl = {1188.18003},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2009__50_2_102_0}
}
Grandis, Marco. The role of symmetries in cubical sets and cubical categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 50 (2009) pp. 102-143. http://gdmltest.u-ga.fr/item/CTGDC_2009__50_2_102_0/
[ABS] - - , Multiple categories: the equivalence of a globular and a cubical approach. Adv. Math. 170 (2002), 71-118. | MR 1929304 | Zbl 1013.18003
[BH1] and , On the algebra of cubes, J. Pure Appl. Algebra 21 (1981), 233-260. | MR 617135 | Zbl 0468.55007
[BH2] - , Tensor products and homotopies for -groupoids and crossed complexes, J. Pure Appl. Algebra 47 (1987), 1-33. | MR 906402 | Zbl 0621.55009
[CL] - , Higher-dimensional categories: an illustrated guide book, draft version 2004. http://www.math.uchicago.edu/~eugenia/guidebook/index.html
[CM] - , Generators and relations for discrete groups. Springer, Berlin 1957. | MR 88489 | Zbl 0077.02801
[Du] , Simplicial methods and the interpretation of "triple" cohomology, Mem. Amer. Math. Soc. 3 (1975), n. 163. | MR 393196 | Zbl 0376.18011
[G1] , Directed homotopy theory, 1. The fundamental category, Cah. Topol. Géom. Différ. Catég. 44 (2003), 281-316. | Numdam | MR 2030049 | Zbl 1059.55009
[G2] , Lax 2-categories and directed homotopy, Cah. Topol. Géom. Différ. Catég. 47 (2006), 107-128. | Numdam | MR 2248226 | Zbl 1170.18301
[G3] , Higher cospans and weak cubical categories (Cospans in Algebraic Topology, I), Theory Appl. Categ. 18 (2007), No. 12, 321-347. | MR 2326435 | Zbl 1127.18003
[G4] , Collared cospans, cohomotopy and TQFT (Cospans in Algebraic Topology, II), Theory Appl. Categ. 18 (2007), No. 19, 602-630. | MR 2369111 | Zbl 1136.18004
[G5] , Cubical cospans and higher cobordisms (Cospans in Algebraic Topology, III), J. Homotopy Relat. Struct. 3 (2008), 273-308. | MR 2426182 | Zbl 1185.18005
[GM] - , Cubical sets and their site. Theory Appl. Categ. 11 (2003), No. 8, 185-211. | MR 1988396 | Zbl 1022.18009
[GP1] - , Limits in double categories, Cah. Topol. Géom. Différ. Catég. 40 (1999), 162-220. | Numdam | MR 1716779 | Zbl 0939.18007
[GP2] - , Adjoint for double categories, Cah. Topol. Géom. Différ. Catég. 45 (2004), 193-240. | Numdam | MR 2090335 | Zbl 1063.18002
[GP3] - , Kan extensions in double categories (On weak double categories, III), , Theory Appl. Categ. 20 (2008), No. 8, 152-185. | MR 2395245 | Zbl 1141.18006
[GP4] - , Lax Kan extensions for double categories (On weak double categories. Part IV), Cah. Topol. Géom. Différ. Catég. 48 (2007), 163-199. | Numdam | MR 2351267 | Zbl 1131.18004
[Jo] , Topics in the theory of presentation of groups, Cambridge Univ. Press, Cambridge 1980. | MR 695161 | Zbl 0437.20026
[K1] , Abstract homotopy I, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 1092-1096. | MR 79762 | Zbl 0065.38601
[K2] , Abstract homotopy. II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 255-258. | MR 79763 | Zbl 0071.16702
[Le] , Higher operads, higher categories, Cambridge University Press, Cambridge 2004. | MR 2094071 | Zbl 1160.18001