Geometry & Topology Volume 14, issue 1 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

An elementary construction of Anick's fibration

Brayton Gray and Stephen Theriault

Geometry & Topology 14 (2010) 243–275

DOI: 10.2140/gt.2010.14.243

Bibliography

1	D Anick, Differential algebras in topology, Research Notes in Math. 3, A K Peters Ltd. (1993) MR1213682
2	D Anick, B Gray, Small $H$ spaces related to Moore spaces, Topology 34 (1995) 859 MR1362790
3	F R Cohen, The unstable decomposition of $\Omega ^{2}\Sigma ^{2}X$ and its applications, Math. Z. 182 (1983) 553 MR701370
4	F R Cohen, J C Moore, J A Neisendorfer, Decompositions of loop spaces and applications to exponents, from: "Algebraic topology, Aarhus 1978 (Proc. Sympos.)" (editors J L Dupont, I H Madsen), Lecture Notes in Math. 763, Springer (1979) 1 MR561210
5	F R Cohen, J C Moore, J A Neisendorfer, The double suspension and exponents of the homotopy groups of spheres, Ann. of Math. $(2)$ 110 (1979) 549 MR554384
6	F R Cohen, J C Moore, J A Neisendorfer, Torsion in homotopy groups, Ann. of Math. $(2)$ 109 (1979) 121 MR519355
7	B Gray, A note on the Hilton–Milnor theorem, Topology 10 (1971) 199 MR0281202
8	B Gray, On the iterated suspension, Topology 27 (1988) 301 MR963632
9	B Gray, $\mathit{EHP}$ spectra and periodicity. I. Geometric constructions, Trans. Amer. Math. Soc. 340 (1993) 595 MR1152323
10	B Gray, $\mathit{EHP}$ spectra and periodicity. II. $\Lambda$–algebra models, Trans. Amer. Math. Soc. 340 (1993) 617 MR1152324
11	B Gray, On decompositions in homotopy theory, Trans. Amer. Math. Soc. 358 (2006) 3305 MR2218977
12	I M James, Reduced product spaces, Ann. of Math. $(2)$ 62 (1955) 170 MR0073181
13	M Mahowald, On the double suspension homomorphism, Trans. Amer. Math. Soc. 214 (1975) 169 MR0438333
14	M Mather, Pull-backs in homotopy theory, Canad. J. Math. 28 (1976) 225 MR0402694
15	J A Neisendorfer, $3$–primary exponents, Math. Proc. Cambridge Philos. Soc. 90 (1981) 63 MR611286
16	J A Neisendorfer, The exponent of a Moore space, from: "Algebraic topology and algebraic $K$–theory (Princeton, N.J., 1983)" (editor W Browder), Ann. of Math. Stud. 113, Princeton Univ. Press (1987) 35 MR921472
17	J Neisendorfer, Algebraic methods in unstable homotopy theory, New Math. Monogr. 12, Cambridge Univ. Press (2009)
18	S D Theriault, A reconstruction of Anick's fibration, PhD thesis, University of Toronto (1997)
19	S D Theriault, Properties of Anick's spaces, Trans. Amer. Math. Soc. 353 (2001) 1009 MR1709780
20	S D Theriault, The $3$–primary classifying space of the fiber of the double suspension, to appear in Proc. Amer. Math. Soc.