Dwyer, W. G.; Kan, D. M. Realizing diagrams in the homotopy category by means of diagrams of simplicial sets. (English) Zbl 0514.55020 Proc. Am. Math. Soc. 91, 456-460 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 13 Documents MSC: 55U35 Abstract and axiomatic homotopy theory in algebraic topology 55U10 Simplicial sets and complexes in algebraic topology 55S99 Operations and obstructions in algebraic topology Keywords:realizing diagrams in the homotopy category; diagrams of simplicial sets; homotopy inverse limit of simplicial sets; obstruction theory PDFBibTeX XMLCite \textit{W. G. Dwyer} and \textit{D. M. Kan}, Proc. Am. Math. Soc. 91, 456--460 (1984; Zbl 0514.55020) Full Text: DOI References: [1] A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, Vol. 304, Springer-Verlag, Berlin-New York, 1972. · Zbl 0259.55004 [2] George Cooke, Replacing homotopy actions by topological actions, Trans. Amer. Math. Soc. 237 (1978), 391 – 406. · Zbl 0434.55008 [3] W. G. Dwyer and D. M. Kan, Function complexes in homotopical algebra, Topology 19 (1980), no. 4, 427 – 440. · Zbl 0438.55011 [4] W. G. Dwyer and D. M. Kan, Function complexes for diagrams of simplicial sets, Nederl. Akad. Wetensch. Indag. Math. 45 (1983), no. 2, 139 – 147. · Zbl 0524.55021 [5] W. G. Dwyer and D. M. Kan, A classification theorem for diagrams of simplicial sets, Topology 23 (1984), no. 2, 139 – 155. , https://doi.org/10.1016/0040-9383(84)90035-1 W. G. Dwyer and D. M. Kan, Realizing diagrams in the homotopy category by means of diagrams of simplicial sets, Proc. Amer. Math. Soc. 91 (1984), no. 3, 456 – 460. , https://doi.org/10.1090/S0002-9939-1984-0744648-4 W. G. Dwyer and D. M. Kan, An obstruction theory for diagrams of simplicial sets, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), no. 2, 139 – 146. W. G. Dwyer and D. M. Kan, Singular functors and realization functors, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), no. 2, 147 – 153. · Zbl 0555.55018 [6] W. G. Dwyer and D. M. Kan, Equivariant homotopy classification, J. Pure Appl. Algebra 35 (1985), no. 3, 269 – 285. · Zbl 0567.55010 [7] W. G. Dwyer and D. M. Kan, A classification theorem for diagrams of simplicial sets, Topology 23 (1984), no. 2, 139 – 155. , https://doi.org/10.1016/0040-9383(84)90035-1 W. G. Dwyer and D. M. Kan, Realizing diagrams in the homotopy category by means of diagrams of simplicial sets, Proc. Amer. Math. Soc. 91 (1984), no. 3, 456 – 460. , https://doi.org/10.1090/S0002-9939-1984-0744648-4 W. G. Dwyer and D. M. Kan, An obstruction theory for diagrams of simplicial sets, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), no. 2, 139 – 146. W. G. Dwyer and D. M. Kan, Singular functors and realization functors, Nederl. Akad. Wetensch. Indag. Math. 46 (1984), no. 2, 147 – 153. · Zbl 0555.55018 [8] Daniel M. Kan, On c. s. s. complexes, Amer. J. Math. 79 (1957), 449 – 476. · Zbl 0078.36901 [9] 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. · Zbl 0769.55001 [10] Daniel Quillen, Higher algebraic \?-theory. I, Algebraic \?-theory, I: Higher \?-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 85 – 147. Lecture Notes in Math., Vol. 341. · Zbl 0292.18004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.