Algebraic & Geometric Topology Volume 17, issue 2 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Stable functorial decompositions of $F(\mathbb{R}^{n+1},j)^{+}\wedge_{\Sigma_j}X^{(j)}$

Jie Wu and Zihong Yuan

Algebraic & Geometric Topology 17 (2017) 895–915

DOI: 10.2140/agt.2017.17.895

Bibliography

1	A Bahri, M Bendersky, F R Cohen, S Gitler, The polyhedral product functor: a method of decomposition for moment-angle complexes, arrangements and related spaces, Adv. Math. 225 (2010) 1634 MR2673742
2	C F Bödigheimer, Stable splittings of mapping spaces, from: "Algebraic topology" (editors H R Miller, D C Ravenel), Lecture Notes in Math. 1286, Springer (1987) 174 MR922926
3	F R Cohen, The homology of 𝒞_n+1–spaces, n ≥ 0, from: "The homology of iterated loop spaces" (editors F R Cohen, T J Lada, J P May), Lecture Notes in Mathematics 533, Springer (1976) 207 MR0436146
4	F R Cohen, J P May, L R Taylor, Splitting of certain spaces CX, Math. Proc. Cambridge Philos. Soc. 84 (1978) 465 MR503007
5	F R Cohen, J P May, L R Taylor, Splitting of some more spaces, Math. Proc. Cambridge Philos. Soc. 86 (1979) 227 MR538744
6	N Dobrinskaya, Loops on polyhedral products and diagonal arrangements, preprint (2009) arXiv:0901.2871
7	J Y Li, F C Lei, J Wu, Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras, Proc. Edinb. Math. Soc. 54 (2011) 467 MR2794667
8	J P May, L R Taylor, Generalized splitting theorems, Math. Proc. Cambridge Philos. Soc. 93 (1983) 73 MR684277
9	J McCleary, A user’s guide to spectral sequences, 58, Cambridge University Press (2001) MR1793722
10	P Selick, J Wu, On natural coalgebra decompositions of tensor algebras and loop suspensions, 701, Amer. Math. Soc. (2000) MR1706247
11	P Selick, J Wu, On functorial decompositions of self-smash products, Manuscripta Math. 111 (2003) 435 MR2002820
12	V P Snaith, A stable decomposition of ΩⁿSⁿX, J. London Math. Soc. 7 (1974) 577 MR0339155
13	Z H Yuan, Functorial homotopy decompositions of iterated loop suspensions, PhD thesis, National University of Singapore (2014)