The equivalence of -groupoids and crossed complexes
Ronald Brown; Philip J. Higgins
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1981)
- Volume: 22, Issue: 4, page 371-386
- ISSN: 1245-530X
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top- 1 R. Brown& P.J. Higgins, On the algebra of cubes, J. Pure & Appl. Algebra, 21 (1981), 233- 260. Zbl0468.55007MR617135
- 2 R. Brown& P.J. Higgins, Colimit theorems for relative homotopy groups, J. Pure & Appl. Algebra22 (1981), 11-41. Zbl0475.55009MR621285
- 3 R. Brown & P.J. Higgins, The equivalence of ω-groupoids and cubical T-complexe s, This issue.
- 4 R. Brown & C.B. Spencer, G-groupoids, crossed modules and the fundamental groupoid of a topological group, Proc. Kon. Akad. v. Wet.79 (1976), 296. Zbl0333.55011MR419643
- 5 R. Brown & C.B. Spencer, Double groupoids and crossed modules,Cahiers Top. et Géom. Diff.XVII-4 (1976), 343-362. Zbl0344.18004MR440553
- 6 M.K. Dakin, Kan complexes and multiple groupoid structures, Ph. D. Thesis University of Wale s, 1977. Zbl0566.55010MR766238
- 7 A. Dold, Homology of symmetric products and other functors of complexes, Ann. of Math.68 (1958), 54 - 80. Zbl0082.37701MR97057
- 8 A. & C. Ehresmann, Multiple functors II, III, Cahiers Top. et Géom. Diff.xx (1978), 295-333, 387-443. Zbl0415.18006
- 9 D.M. Kan, Functors involving c.s.s. complexes, Trans. A.M.S.87 (1958), 330. Zbl0090.39001MR131873
- 10 C.B. Sp Encer, An abstract setting for homotopy pushouts and pullbacks, Cahiers Top. et Géom. Diff. XVIII-4 (1977), 409-430. Zbl0378.18008MR486054
- 11 O. Wyler, Multiple functor categories, Mimeographed Note s, Camegie-Mellon University, 1972.
Citations in EuDML Documents
top- M. M. Kapranov, V. A. Voevodsky, -groupoids and homotopy types
- Ross Street, Parity complexes
- M. M. Kapranov, V. A. Voevodsky, Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)
- Marco Grandis, Higher fundamental functors for simplicial sets
- Philippe Gaucher, About the globular homology of higher dimensional automata
- Dominique Bourn, La tour de fibrations exactes des -catégories