Algebraic & Geometric Topology Volume 10, issue 1 (2010)

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On homotopy groups of the suspended classifying spaces

Roman Mikhailov and Jie Wu

Algebraic & Geometric Topology 10 (2010) 565–625

DOI: 10.2140/agt.2010.10.565

Bibliography

1	D Arlettaz, Algebraic $K$–theory of rings from a topological viewpoint, Publ. Mat. 44 (2000) 3 MR1775748
2	H J Baues, Homotopy type and homology, Oxford Math. Monogr., Oxford Science Publ., The Clarendon Press, Oxford Univ. Press (1996) MR1404516
3	H J Baues, D Conduché, On the tensor algebra of a nonabelian group and applications, $K$–Theory 5 (1991/92) 531 MR1169422
4	H J Baues, P Goerss, A homotopy operation spectral sequence for the computation of homotopy groups, Topology 39 (2000) 161 MR1710998
5	L Breen, On the functorial homology of abelian groups, J. Pure Appl. Algebra 142 (1999) 199 MR1721092
6	R Brown, J L Loday, Van Kampen theorems for diagrams of spaces, Topology 26 (1987) 311 MR899052
7	G Carlsson, A simplicial group construction for balanced products, Topology 23 (1984) 85 MR721454
8	A Dold, D Puppe, Homologie nicht-additiver Funktoren. Anwendungen, Ann. Inst. Fourier Grenoble 11 (1961) 201 MR0150183
9	S Eilenberg, S Mac Lane, On the groups $H(\Pi,n)$. II. Methods of computation, Ann. of Math. $(2)$ 60 (1954) 49 MR0065162
10	G Ellis, R Mikhailov, A colimit of classifying spaces, to appear Adv. Math. arXiv:0804.3581
11	J C Harris, N J Kuhn, Stable decompositions of classifying spaces of finite abelian $p$–groups, Math. Proc. Cambridge Philos. Soc. 103 (1988) 427 MR932667
12	J Neisendorfer, Primary homotopy theory, Mem. Amer. Math. Soc. 25 (1980) MR567801
13	S B Priddy, On $\Omega ^{\infty }S^{\infty }$ and the infinite symmetric group, from: "Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970)" (editor A Liulevicius), Amer. Math. Soc. (1971) 217 MR0358767
14	D G Quillen, Spectral sequences of a double semi-simplicial group, Topology 5 (1966) 155 MR0195097
15	H Toda, Composition methods in homotopy groups of spheres, Annals of Math. Studies 49, Princeton Univ. Press (1962) MR0143217
16	H Toda, Order of the identity class of a suspension space, Ann. of Math. $(2)$ 78 (1963) 300 MR0156347
17	G W Whitehead, On spaces with vanishing low-dimensional homotopy groups, Proc. Nat. Acad. Sci. U. S. A. 34 (1948) 207 MR0028027
18	J H C Whitehead, The homotopy type of a special kind of polyhedron, Ann. Soc. Polon. Math. 21 (1948) MR0030758
19	J H C Whitehead, A certain exact sequence, Ann. of Math. $(2)$ 52 (1950) 51 MR0035997
20	J Wu, Combinatorial descriptions of homotopy groups of certain spaces, Math. Proc. Cambridge Philos. Soc. 130 (2001) 489 MR1816806
21	J Wu, Homotopy theory of the suspensions of the projective plane, Mem. Amer. Math. Soc. 162 (2003) MR1955357