Algebraic & Geometric Topology Volume 18, issue 2 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Topological equivalences of E-infinity differential graded algebras

Haldun Özgür Bayındır

Algebraic & Geometric Topology 18 (2018) 1115–1146

DOI: 10.2140/agt.2018.18.1115

Bibliography

1	A Baker, Calculating with topological André–Quillen theory, I : Homotopical properties of universal derivations and free commutative S–algebras, preprint (2012) arXiv:1208.1868
2	A Baker, Power operations and coactions in highly commutative homology theories, Publ. Res. Inst. Math. Sci. 51 (2015) 237 MR3348109
3	M Basterra, André–Quillen cohomology of commutative S–algebras, J. Pure Appl. Algebra 144 (1999) 111 MR1732625
4	A K Bousfield, Homotopy spectral sequences and obstructions, Israel J. Math. 66 (1989) 54 MR1017155
5	R R Bruner, J P May, J E McClure, M Steinberger, H_∞ ring spectra and their applications, 1176, Springer (1986) MR836132
6	D Dugger, B Shipley, Postnikov extensions of ring spectra, Algebr. Geom. Topol. 6 (2006) 1785 MR2263050
7	D Dugger, B Shipley, Topological equivalences for differential graded algebras, Adv. Math. 212 (2007) 37 MR2319762
8	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, Amer. Math. Soc. (1997) MR1417719
9	P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra" (editors A Baker, B Richter), London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
10	N Johnson, J Noel, Lifting homotopy T–algebra maps to strict maps, Adv. Math. 264 (2014) 593 MR3250294
11	T Lawson, A note on H_∞ structures, Proc. Amer. Math. Soc. 143 (2015) 3177 MR3336642
12	J L Loday, Cyclic homology, 301, Springer (1998) MR1600246
13	M A Mandell, Cochains and homotopy type, Publ. Math. Inst. Hautes Études Sci. 103 (2006) 213 MR2233853
14	M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
15	J P May, Homology operations on infinite loop spaces, from: "Algebraic topology" (editor R J Milgram), Proc. Sympos. Pure Math. XXII, Amer. Math. Soc. (1971) 171 MR0319195
16	J Milnor, The Steenrod algebra and its dual, Ann. of Math. 67 (1958) 150 MR0099653
17	J Noel, H_∞≠E_∞, from: "An alpine expedition through algebraic topology" (editors C Ausoni, K Hess, B Johnson, W Lück, J Scherer), Contemp. Math. 617, Amer. Math. Soc. (2014) 237 MR3243401
18	J Noel, The T–algebra spectral sequence : comparisons and applications, Algebr. Geom. Topol. 14 (2014) 3395 MR3302966
19	D Quillen, On the (co-) homology of commutative rings, from: "Applications of Categorical Algebra" (editor A Heller), Proc. Sympos. Pure Math. XVII, Amer. Math. Soc. (1970) 65 MR0257068
20	C Rezk, Notes on the Hopkins–Miller theorem, from: "Homotopy theory via algebraic geometry and group representations" (editors M Mahowald, S Priddy), Contemp. Math. 220, Amer. Math. Soc. (1998) 313 MR1642902
21	B Richter, B Shipley, An algebraic model for commutative Hℤ–algebras, Algebr. Geom. Topol. 17 (2017) 2013 MR3685600
22	A Robinson, Obstruction theory and the strict associativity of Morava K–theories, from: "Advances in homotopy theory" (editors S M Salamon, B Steer, W A Sutherland), London Math. Soc. Lecture Note Ser. 139, Cambridge Univ. Press (1989) 143 MR1055874
23	A Robinson, Gamma homology, Lie representations and E_∞ multiplications, Invent. Math. 152 (2003) 331 MR1974890
24	B Shipley, Hℤ–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038