Geometry & Topology Volume 18, issue 1 (2014)

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

Commutative ring objects in pro-categories and generalized Moore spectra

Daniel G Davis and Tyler Lawson

Geometry & Topology 18 (2014) 103–140

DOI: 10.2140/gt.2014.18.103

Bibliography

1	V Angeltveit, Enriched Reedy categories, Proc. Amer. Math. Soc. 136 (2008) 2323 MR2390498
2	M Artin, B Mazur, Etale homotopy, Lecture Notes in Mathematics 100, Springer (1969) MR0245577
3	C Ausoni, J Rognes, Algebraic $K$–theory of the fraction field of topological $K$–theory, unpublished (2008)
4	A Baker, A Lazarev, On the Adams spectral sequence for $R$–modules, Algebr. Geom. Topol. 1 (2001) 173 MR1823498
5	T Bauer, Formal plethories arXiv:1107.5745
6	M Behrens, The tower of generalized Moore spectra is $H_\infty$, unpublished (2004)
7	M Behrens, D G Davis, The homotopy fixed point spectra of profinite Galois extensions, Trans. Amer. Math. Soc. 362 (2010) 4983 MR2645058
8	C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
9	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
10	G Carlsson, Derived completions in stable homotopy theory, J. Pure Appl. Algebra 212 (2008) 550 MR2365333
11	B I Dundas, Localization of $V$–categories, Theory Appl. Categ. 8 (2001) 284 MR1835445
12	W Dwyer, K Hess, Long knots and maps between operads, Geom. Topol. 16 (2012) 919 MR2928985
13	W G Dwyer, P S Hirschhorn, D M Kan, J H Smith, Homotopy limit functors on model categories and homotopical categories, Mathematical Surveys and Monographs 113, Amer. Math. Soc. (2004) MR2102294
14	W G Dwyer, D M Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 (1980) 267 MR579087
15	D A Edwards, H M Hastings, Čech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Mathematics 542, Springer (1976) MR0428322
16	H Fausk, Equivariant homotopy theory for pro-spectra, Geom. Topol. 12 (2008) 103 MR2377247
17	H Fausk, D C Isaksen, Model structures on pro-categories, Homology Homotopy Appl. 9 (2007) 367 MR2299804
18	H Fausk, D C Isaksen, t–model structures, Homology Homotopy Appl. 9 (2007) 399 MR2299805
19	P G Goerss, (Pre-)sheaves of ring spectra over the moduli stack of formal group laws, from: "Axiomatic, enriched and motivic homotopy theory" (editor J P C Greenlees), NATO Sci. Ser. II Math. Phys. Chem. 131, Kluwer Acad. Publ. (2004) 101 MR2061853
20	P Goerss, H W Henn, M Mahowald, C Rezk, A resolution of the $K(2)$–local sphere at the prime $3$, Ann. of Math. 162 (2005) 777 MR2183282
21	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
22	M Hovey, Bousfield localization functors and Hopkins' chromatic splitting conjecture, from: "The Čech centennial 1993" (editors M Cenkl, H Miller), Contemp. Math. 181, Amer. Math. Soc. (1995) 225 MR1320994
23	M Hovey, Model categories, Mathematical Surveys and Monographs 63, Amer. Math. Soc. (1999) MR1650134
24	M Hovey, Morava $E$–theory of filtered colimits, Trans. Amer. Math. Soc. 360 (2008) 369 MR2342007
25	M Hovey, J H Palmieri, N P Strickland, Axiomatic stable homotopy theory, Mem. Amer. Math. Soc. 128 (1997) 114 MR1388895
26	M Hovey, B Shipley, J Smith, Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653
27	M Hovey, N P Strickland, Morava $K$–theories and localisation, Mem. Amer. Math. Soc. 139 (1999) MR1601906
28	D C Isaksen, Strict model structures for pro-categories, from: "Categorical decomposition techniques in algebraic topology" (editors G Arone, J Hubbuck, R Levi, M Weiss), Progr. Math. 215, Birkhäuser (2004) 179 MR2039766
29	M Markl, S Shnider, J Stasheff, Operads in algebra, topology and physics, Mathematical Surveys and Monographs 96, Amer. Math. Soc. (2002) MR1898414
30	S Oka, Ring spectra with few cells, Japan. J. Math. 5 (1979) 81 MR614695
31	C W Rezk, Spaces of algebra structures and cohomology of operads, PhD thesis, Massachusetts Institute of Technology (1996) MR2716655
32	C Rezk, Notes on the Hopkins–Miller theorem, from: "Homotopy theory via algebraic geometry and group representations" (editors Mahowald,Mark, Priddy,Stewart), Contemp. Math. 220, Amer. Math. Soc. (1998) 313 MR1642902
33	C Rezk, Every homotopy theory of simplicial algebras admits a proper model, Topology Appl. 119 (2002) 65 MR1881711
34	C Rezk, The units of a ring spectrum and a logarithmic cohomology operation, J. Amer. Math. Soc. 19 (2006) 969 MR2219307
35	J Rognes, Galois extensions of structured ring spectra. Stably dualizable groups, Mem. Amer. Math. Soc. 192 (2008) 137 MR2387923
36	S Schwede, Stable homotopical algebra and $\Gamma$–spaces, Math. Proc. Cambridge Philos. Soc. 126 (1999) 329 MR1670249
37	S Schwede, The stable homotopy category is rigid, Ann. of Math. 166 (2007) 837 MR2373374
38	S Schwede, An untitled book project about symmetric spectra (2007)
39	S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
40	S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
41	B Shipley, A convenient model category for commutative ring spectra, from: "Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic $K$–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 473 MR2066511
42	R W Thomason, Algebraic $K$–theory and étale cohomology, Ann. Sci. École Norm. Sup. 18 (1985) 437 MR826102