@article{CTGDC_1991__32_1_29_0, author = {Kapranov, M. M. and Voevodsky, V. A.}, title = {$\infty $-groupoids and homotopy types}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {29--46}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {32}, number = {1}, year = {1991}, zbl = {0754.18008}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1991__32_1_29_0/} }
TY - JOUR AU - Kapranov, M. M. AU - Voevodsky, V. A. TI - $\infty $-groupoids and homotopy types JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1991 SP - 29 EP - 46 VL - 32 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1991__32_1_29_0/ LA - en ID - CTGDC_1991__32_1_29_0 ER -
%0 Journal Article %A Kapranov, M. M. %A Voevodsky, V. A. %T $\infty $-groupoids and homotopy types %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1991 %P 29-46 %V 32 %N 1 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1991__32_1_29_0/ %G en %F CTGDC_1991__32_1_29_0
Kapranov, M. M.; Voevodsky, V. A. $\infty $-groupoids and homotopy types. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 32 (1991) no. 1, pp. 29-46. http://www.numdam.org/item/CTGDC_1991__32_1_29_0/
[A] The geometry of oriented cubes, Macquarie Math. Report 86.0082, Sydney, 1986.
,[BH 1 ] The algebra of cubes, J. Pure Appl. Algebra, 1981, 21, pp. 233-260. | MR | Zbl
, ,[BH2] The equivalence of ∞-groupoids and crossed complexes, Cah. Top. Geom. Diff., 1981, 22, pp. 371-386. | Numdam | Zbl
, ,[Gr] Pursuing stacks, Manuscript, 1983 (distributed from UCNW, Bangor, U.K.).
,[GU] Lokal praesentierbare Kategorien, Lecture Notes in Math. N.221, Springer 1971. | MR | Zbl
, ,[GZ] Calculus of fractions and homotopy theory, Ergenbisse der Math., Bd. 35, Springer, 1967. | MR | Zbl
, ,[J] The combinatorics of n-categorical pasting, J. Pure Appl. Algebra, 1989, 62 (3) 211-225. | MR | Zbl
,[KV] Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders, (these Proceedings). | Numdam | Zbl
, ,[L] Spaces with finitely many non-trivial homotopy groups, J. Pure Appl. Algebra, 1982, v.24, pp. 179-202. | MR | Zbl
,[M] Categories for working mathematicians, Springer 1971. | MR | Zbl
,[MS] Arrangements of hyperplanes, higher braid groups and higher Bruhat orders, Adv. Studies in Pure Math., 1989, v.17. pp. 2898-308. | MR | Zbl
, ,[P] A 2-categorical pasting theorem, J. of Algebra, 1990, v. 129, N.2, pp. 439-445. | MR | Zbl
,[S1] The algebra of oriented simplexes, J. Pure Appl. Algebra, 1987, v. 49, N.3., pp. 283-335. | MR | Zbl
,[S2] Parity complexes, Macquarie Math. Report 88-0015, Sydney, 1988.
,