Algebraic & Geometric Topology Volume 14, issue 5 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

An algebraic model for finite loop spaces

Carles Broto, Ran Levi and Bob Oliver

Algebraic & Geometric Topology 14 (2014) 2915–2982

DOI: 10.2140/agt.2014.14.2915

Bibliography

1	K K S Andersen, B Oliver, J Ventura, Reduced, tame and exotic fusion systems, Proc. Lond. Math. Soc. 105 (2012) 87 MR2948790
2	M Aschbacher, R Kessar, B Oliver, Fusion systems in algebra and topology, London Math. Soc. Lecture Note Series 391, Cambridge Univ. Press (2011) MR2848834
3	M G Barratt, V K A M Gugenheim, J C Moore, On semisimplicial fibre-bundles, Amer. J. Math. 81 (1959) 639 MR0111028
4	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972) MR0365573
5	C Broto, N Castellana, J Grodal, R Levi, B Oliver, Subgroup families controlling $p$–local finite groups, Proc. London Math. Soc. 91 (2005) 325 MR2167090
6	C Broto, N Castellana, J Grodal, R Levi, B Oliver, Extensions of $p$–local finite groups, Trans. Amer. Math. Soc. 359 (2007) 3791 MR2302515
7	C Broto, R Levi, B Oliver, Homotopy equivalences of $p$–completed classifying spaces of finite groups, Invent. Math. 151 (2003) 611 MR1961340
8	C Broto, R Levi, B Oliver, The homotopy theory of fusion systems, J. Amer. Math. Soc. 16 (2003) 779 MR1992826
9	C Broto, R Levi, B Oliver, Discrete models for the $p$–local homotopy theory of compact Lie groups and $p$–compact groups, Geom. Topol. 11 (2007) 315 MR2302494
10	C Broto, R Levi, B Oliver, The rational cohomology of a $p$–local compact group, Proc. Amer. Math. Soc. 142 (2014) 1035 MR3148537
11	E B Curtis, Simplicial homotopy theory, Advances in Math. 6 (1971) 107 MR0279808
12	W G Dwyer, C W Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. 139 (1994) 395 MR1274096
13	P G Goerss, J F Jardine, Simplicial homotopy theory, Progress in Mathematics 174, Birkhäuser, Basel (1999) MR1711612
14	S Jackowski, J McClure, B Oliver, Homotopy classification of self-maps of $BG$ via $G$–actions, I, Ann. of Math. 135 (1992) 183 MR1147962
15	F Junod, R Levi, A Libman, Unstable Adams operations on $p$–local compact groups, Algebr. Geom. Topol. 12 (2012) 49 MR2889545
16	B Oliver, Extensions of linking systems and fusion systems, Trans. Amer. Math. Soc. 362 (2010) 5483 MR2657688
17	B Oliver, J Ventura, Extensions of linking systems with $p$–group kernel, Math. Ann. 338 (2007) 983 MR2317758
18	K Roberts, S Shpectorov, On the definition of saturated fusion systems, J. Group Theory 12 (2009) 679 MR2554760