Volume 6, issue 2 (2006)

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On realizing diagrams of $\Pi$–algebras

David Blanc, Mark W Johnson and James M Turner

Algebraic & Geometric Topology 6 (2006) 763–807
Bibliography
1 J Adámek, J Rosický, Locally presentable and accessible categories, 189, Cambridge University Press (1994) MR1294136
2 H J Baues, Combinatorial foundation of homology and homotopy, , Springer (1999) MR1707308
3 D Benson, H Krause, S Schwede, Realizability of modules over Tate cohomology, Trans. Amer. Math. Soc. 356 (2004) 3621 MR2055748
4 D Blanc, Comparing homotopy categories, K–Theory (to appear)
5 D A Blanc, A Hurewicz spectral sequence for homology, Trans. Amer. Math. Soc. 318 (1990) 335 MR956029
6 D Blanc, Higher homotopy operations and the realizability of homotopy groups, Proc. London Math. Soc. (3) 70 (1995) 214 MR1300845
7 D Blanc, Mapping spaces and M–CW complexes, Forum Math. 9 (1997) 367 MR1441926
8 D Blanc, Algebraic invariants for homotopy types, Math. Proc. Cambridge Philos. Soc. 127 (1999) 497 MR1713125
9 D Blanc, CW simplicial resolutions of spaces with an application to loop spaces, Topology Appl. 100 (2000) 151 MR1733041
10 D Blanc, W G Dwyer, P G Goerss, The realization space of a Π–algebra : a moduli problem in algebraic topology, Topology 43 (2004) 857 MR2061210
11 D Blanc, G Peschke, The fiber of functors between categories of algebras, J. Pure. Appl. Alg. (to appear)
12 A K Bousfield, Cosimplicial resolutions and homotopy spectral sequences in model categories, Geom. Topol. 7 (2003) 1001 MR2026537
13 A K Bousfield, E M Friedlander, Homotopy theory of Γ–spaces, spectra, and bisimplicial sets, from: "Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II", Lecture Notes in Math. 658, Springer (1978) 80 MR513569
14 W Chachólski, W G Dwyer, M Intermont, The A–complexity of a space, J. London Math. Soc. (2) 65 (2002) 204 MR1875145
15 E Dror Farjoun, Cellular inequalities, from: "The Cech centennial (Boston, 1993)", Contemp. Math. 181, Amer. Math. Soc. (1995) 159 MR1320991
16 W G Dwyer, D M Kan, A classification theorem for diagrams of simplicial sets, Topology 23 (1984) 139 MR744846
17 W G Dwyer, D M Kan, An obstruction theory for diagrams of simplicial sets, Nederl. Akad. Wetensch. Indag. Math. 46 (1984) 139 MR749527
18 W G Dwyer, D M Kan, Realizing diagrams in the homotopy category by means of diagrams of simplicial sets, Proc. Amer. Math. Soc. 91 (1984) 456 MR744648
19 W G Dwyer, D M Kan, Centric maps and realization of diagrams in the homotopy category, Proc. Amer. Math. Soc. 114 (1992) 575 MR1070515
20 W G Dwyer, D M Kan, J H Smith, Homotopy commutative diagrams and their realizations, J. Pure Appl. Algebra 57 (1989) 5 MR984042
21 W G Dwyer, D M Kan, C R Stover, An E2 model category structure for pointed simplicial spaces, J. Pure Appl. Algebra 90 (1993) 137 MR1250765
22 W G Dwyer, D M Kan, C R Stover, The bigraded homotopy groups πi,jX of a pointed simplicial space X, J. Pure Appl. Algebra 103 (1995) 167 MR1358761
23 G Ellis, R Steiner, Higher-dimensional crossed modules and the homotopy groups of (n+1)–ads, J. Pure Appl. Algebra 46 (1987) 117 MR897011
24 P G Goerss, M J Hopkins, Resolutions in model categories, preprint (1999)
25 P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra", London Math. Soc. Lecture Notes 315, Cambridge Univ. Press (2004) 151 MR2125040
26 P G Goerss, M J Hopkins, Moduli problems for structured ring spectra, preprint (2005)
27 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser Verlag (1999) MR1711612
28 P S Hirschhorn, Model categories and their localizations, 99, American Mathematical Society (2003) MR1944041
29 L Illusie, Complexe cotangent et déformations I, Springer (1971) MR0491680
30 J F Jardine, Bousfield’s E2 model theory for simplicial objects, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory", Contemp. Math. 346, Amer. Math. Soc. (2004) 305 MR2066504
31 J L Loday, Spaces with finitely many nontrivial homotopy groups, J. Pure Appl. Algebra 24 (1982) 179 MR651845
32 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. (3) 82 (2001) 441 MR1806878
33 J P May, Simplicial objects in algebraic topology, 11, D. Van Nostrand Co., Princeton, N.J.-Toronto, Ont.-London (1967) MR0222892
34 D G Quillen, Spectral sequences of a double semi-simplicial group, Topology 5 (1966) 155 MR0195097
35 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
36 J Spaliński, Stratified model categories, Fund. Math. 178 (2003) 217 MR2030483
37 C R Stover, A van Kampen spectral sequence for higher homotopy groups, Topology 29 (1990) 9 MR1046622
38 H Toda, Composition methods in homotopy groups of spheres, 49, Princeton University Press (1962) MR0143217
39 G W Whitehead, Elements of homotopy theory, 61, Springer (1978) MR516508