@article{CTGDC_1981__22_4_349_0, author = {Brown, Ronald and Higgins, Philip J.}, title = {The equivalence of $\omega $-groupoids and cubical $T$-complexes}, journal = {Cahiers de topologie et g\'eom\'etrie diff\'erentielle}, pages = {349--370}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {22}, number = {4}, year = {1981}, zbl = {0486.55011}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1981__22_4_349_0/} }
TY - JOUR AU - Brown, Ronald AU - Higgins, Philip J. TI - The equivalence of $\omega $-groupoids and cubical $T$-complexes JO - Cahiers de topologie et géométrie différentielle PY - 1981 SP - 349 EP - 370 VL - 22 IS - 4 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1981__22_4_349_0/ LA - en ID - CTGDC_1981__22_4_349_0 ER -
%0 Journal Article %A Brown, Ronald %A Higgins, Philip J. %T The equivalence of $\omega $-groupoids and cubical $T$-complexes %J Cahiers de topologie et géométrie différentielle %D 1981 %P 349-370 %V 22 %N 4 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1981__22_4_349_0/ %G en %F CTGDC_1981__22_4_349_0
Brown, Ronald; Higgins, Philip J. The equivalence of $\omega $-groupoids and cubical $T$-complexes. Cahiers de topologie et géométrie différentielle, Tome 22 (1981) no. 4, pp. 349-370. http://www.numdam.org/item/CTGDC_1981__22_4_349_0/
1 T-complexes and crossed complexes, Ph. D. Thesis, University of Wales, 1978. | MR | Zbl
,2 Some relations between homology and homotopy groups, Ann. of Math. 49 (1948), 4 28 - 461. | MR | Zbl
,3 Higher dimensional group theory, in Low dimensional topology, ed. Brown & Thickstun, London Math. Soc. Lecture Notes 48, Cambridge, 1982. | MR | Zbl
,4 On the algebra of cubes, J. Pure Appl. Algebra, 21 (1981), 233- 260. | MR | Zbl
& ,5 Colimit theorems for relative homotopy groups, J. Pure Appl. Algebra, 22 (1981), 11-41. | MR | Zbl
& ,6 The equivalence of ∞-groupoids and crossed complexes, This same issue.
& ,7 Kan complexes and multiple groupoid structures, Ph. D. Thesis, University of Wales, 1977. | MR
,8 Homology of symmetric products and other functors of complexes, Ann. of Math. 68 (1958), 54-80. | MR | Zbl
,9 Pullback functors and crossed complexes, Cahiers Topo. et Géom. Diff. XX-3 (1979), 281-296. | Numdam | MR | Zbl
,10 Abstract homotopy theory I, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 1092-1096. | MR | Zbl
,11 Functors involving c. s. s. complexes, Trans. A.M.S. 87 (1958), 330 - 346. | MR | Zbl
,12 Combinatorial homotopy II, Bull. A.M.S. 55 (1949), 45 3-496. | MR | Zbl
,