Algebraic & Geometric Topology Volume 21, issue 1 (2021)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The May–Milgram filtration and $\mathcal{E}_k$–cells

Inbar Klang, Alexander Kupers and Jeremy Miller

Algebraic & Geometric Topology 21 (2021) 105–136

DOI: 10.2140/agt.2021.21.105

Bibliography

1	M Basterra, M A Mandell, Homology and cohomology of E_∞ ring spectra, Math. Z. 249 (2005) 903 MR2126222
2	M Basterra, M A Mandell, Homology of E_n ring spectra and iterated THH, Algebr. Geom. Topol. 11 (2011) 939 MR2782549
3	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
4	F R Cohen, R L Cohen, N J Kuhn, J A Neisendorfer, Bundles over configuration spaces, Pacific J. Math. 104 (1983) 47 MR683727
5	F R Cohen, M E Mahowald, R J Milgram, The stable decomposition for the double loop space of a sphere, from: "Algebraic and geometric topology, II" (editor R J Milgram), Proc. Sympos. Pure Math. 32, Amer. Math. Soc. (1978) 225 MR520543
6	G Dunn, Tensor product of operads and iterated loop spaces, J. Pure Appl. Algebra 50 (1988) 237 MR938617
7	J Ebert, O Randal-Williams, Semisimplicial spaces, Algebr. Geom. Topol. 19 (2019) 2099 MR3995026
8	S Galatius, A Kupers, O Randal-Williams, Cellular E_k–algebras, preprint (2018) arXiv:1805.07184
9	S Galatius, A Kupers, O Randal-Williams, E₂–cells and mapping class groups, Publ. Math. Inst. Hautes Études Sci. 130 (2019) 1 MR4028513
10	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
11	I M James, Reduced product spaces, Ann. of Math. 62 (1955) 170 MR73181
12	A Kupers, J Miller, E_n–cell attachments and a local-to-global principle for homological stability, Math. Ann. 370 (2018) 209 MR3747486
13	J Lurie, Higher algebra, book project (2017)
14	J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
15	R J Milgram, Iterated loop spaces, Ann. of Math. 84 (1966) 386 MR206951
16	C de Seguins Pazzis, The geometric realization of a simplicial Hausdorff space is Hausdorff, Topology Appl. 160 (2013) 1621 MR3091338
17	V P Snaith, A stable decomposition of ΩⁿSⁿX, J. Lond. Math. Soc. 7 (1974) 577 MR339155
18	N Strickland, The category of CGWH spaces, preprint (2009)
19	M Weiss, What does the classifying space of a category classify?, Homology Homotopy Appl. 7 (2005) 185 MR2175298