∞ -groupoids and homotopy types

M. M. Kapranov; V. A. Voevodsky

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1991)

  • Volume: 32, Issue: 1, page 29-46
  • ISSN: 1245-530X

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Kapranov, M. M., and Voevodsky, V. A.. "$\infty $-groupoids and homotopy types." Cahiers de Topologie et Géométrie Différentielle Catégoriques 32.1 (1991): 29-46. <http://eudml.org/doc/91469>.

@article{Kapranov1991,
author = {Kapranov, M. M., Voevodsky, V. A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {homotopy category of CW-complexes},
language = {eng},
number = {1},
pages = {29-46},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {$\infty $-groupoids and homotopy types},
url = {http://eudml.org/doc/91469},
volume = {32},
year = {1991},
}

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
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 32
IS - 1
SP - 29
EP - 46
LA - eng
KW - homotopy category of CW-complexes
UR - http://eudml.org/doc/91469
ER -

References

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  9. [L] J.-L. Loday, Spaces with finitely many non-trivial homotopy groups, J. Pure Appl. Algebra, 1982, v.24, pp. 179-202. Zbl0491.55004MR651845
  10. [M] S. Mac Lane, Categories for working mathematicians, Springer1971. Zbl0906.18001MR354798
  11. [MS] Y.I. Manin, V.V. Schechtman, Arrangements of hyperplanes, higher braid groups and higher Bruhat orders, Adv. Studies in Pure Math., 1989, v.17. pp. 2898-308. Zbl0759.20002MR1097620
  12. [P] A.J. Power, A 2-categorical pasting theorem, J. of Algebra, 1990, v. 129, N.2, pp. 439-445. Zbl0698.18005MR1040947
  13. [S1] R. Street, The algebra of oriented simplexes, J. Pure Appl. Algebra, 1987, v. 49, N.3., pp. 283-335. Zbl0661.18005MR920944
  14. [S2] R. Street, Parity complexes, Macquarie Math. Report 88-0015, Sydney, 1988. 

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