Principal cofibrations in the category of simplicial groups
HTML articles powered by AMS MathViewer
- by Norbert H. Schlomiuk PDF
- Trans. Amer. Math. Soc. 146 (1969), 151-165 Request permission
References
- M. G. Barratt, V. K. A. M. Gugenheim, and J. C. Moore, On semisimplicial fibre-bundles, Amer. J. Math. 81 (1959), 639–657. MR 111028, DOI 10.2307/2372920
- Henri Cartan and Jean-Pierre Serre, Espaces fibrés et groupes d’homotopie. I. Constructions générales, C. R. Acad. Sci. Paris 234 (1952), 288–290 (French). MR 46045
- Beno Eckmann and Peter J. Hilton, Groupes d’homotopie et dualité. Suites exactes, C. R. Acad. Sci. Paris 246 (1958), 2555–2558 (French). MR 100262
- B. Eckmann and P. J. Hilton, Structure maps in group theory, Fund. Math. 50 (1961/62), 207–221. MR 132776, DOI 10.4064/fm-50-2-207-221
- B. Eckmann and P. J. Hilton, Group-like structures in general categories. II. Equalizers, limits, lengths, Math. Ann. 151 (1963), 150–186. MR 153720, DOI 10.1007/BF01344176
- Samuel Eilenberg and J. A. Zilber, Semi-simplicial complexes and singular homology, Ann. of Math. (2) 51 (1950), 499–513. MR 35434, DOI 10.2307/1969364
- P. J. Hilton, The fundamental group as a functor, Bull. Soc. Math. Belg. 14 (1962), 153–177. MR 141699 —, Homotopy and duality, Lecture Notes, Cornell University, Ithaca, N. Y., 1959.
- Daniel M. Kan, A combinatorial definition of homotopy groups, Ann. of Math. (2) 67 (1958), 282–312. MR 111032, DOI 10.2307/1970006
- Daniel M. Kan, On homotopy theory and c.s.s. groups, Ann. of Math. (2) 68 (1958), 38–53. MR 111033, DOI 10.2307/1970042
- Daniel M. Kan, On monoids and their dual, Bol. Soc. Mat. Mexicana (2) 3 (1958), 52–61. MR 111035
- Daniel M. Kan, Minimal free c.s.s. groups, Illinois J. Math. 2 (1958), 537–547. MR 126273
- J. Peter May, Simplicial objects in algebraic topology, Van Nostrand Mathematical Studies, No. 11, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0222892 J. Milnor, The construction FK, Lecture notes, Princeton University, Princeton, N. J., 1956.
- John Milnor, The geometric realization of a semi-simplicial complex, Ann. of Math. (2) 65 (1957), 357–362. MR 84138, DOI 10.2307/1969967 J. C. Moore, Seminar on algebraic homotopy theory, Mimeographed notes, Princeton University, Princeton, N. J., 1956. —, Semi-simplicial complexes and Postnikov systems, Sympos. Intern. de Topologia Algebraica, Mexico, 1956.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 146 (1969), 151-165
- MSC: Primary 55.50
- DOI: https://doi.org/10.1090/S0002-9947-1969-0258039-2
- MathSciNet review: 0258039