#### Volume 12, issue 1 (2008)

 Download this article For screen For printing
 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Author Index To Appear Other MSP Journals
Equivariant homotopy theory for pro–spectra

### Halvard Fausk

Geometry & Topology 12 (2008) 103–176
##### Bibliography
 1 J F Adams, Lectures on Lie groups, W. A. Benjamin, New York-Amsterdam (1969) MR0252560 2 M Artin, B Mazur, Etale homotopy, Lecture Notes in Mathematics 100, Springer (1986) MR883959 3 A A Beĭlinson, J Bernstein, P Deligne, Faisceaux pervers, from: "Analysis and topology on singular spaces, I (Luminy, 1981)", Astérisque 100, Soc. Math. France (1982) 5 MR751966 4 A K Bousfield, The localization of spaces with respect to homology, Topology 14 (1975) 133 MR0380779 5 A K Bousfield, On the telescopic homotopy theory of spaces, Trans. Amer. Math. Soc. 353 (2001) 2391 MR1814075 6 G Carlsson, Structured stable homotopy theory and the descent problem for the algebraic $K$–theory of fields (2003) 7 R L Cohen, J D S Jones, G B Segal, Floer's infinite-dimensional Morse theory and homotopy theory, from: "The Floer memorial volume", Progr. Math. 133, Birkhäuser (1995) 297 MR1362832 8 D G Davis, Iterated homotopy fixed points for the Lubin–Tate spectrum arXiv:math.AT/0610907 9 D G Davis, The Lubin–Tate spectrum and its homotopy fixed point spectra, PhD thesis, Northwestern University (2003) 10 D G Davis, The $E_2$–term of the descent spectral sequence for continuous $G$–spectra, New York J. Math. 12 (2006) 183 MR2242532 11 D G Davis, Homotopy fixed points for $L_{K(n)}(E_n\wedge X)$ using the continuous action, J. Pure Appl. Algebra 206 (2006) 322 MR2235364 12 E S Devinatz, Small ring spectra, J. Pure Appl. Algebra 81 (1992) 11 MR1173820 13 E S Devinatz, A Lyndon–Hochschild–Serre spectral sequence for certain homotopy fixed point spectra, Trans. Amer. Math. Soc. 357 (2005) 129 MR2098089 14 E S Devinatz, M J Hopkins, Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, Topology 43 (2004) 1 MR2030586 15 W G Dwyer, Homology decompositions for classifying spaces of finite groups, Topology 36 (1997) 783 MR1432421 16 W G Dwyer, E M Friedlander, Algebraic and etale $K$–theory, Trans. Amer. Math. Soc. 292 (1985) 247 MR805962 17 H Fausk, Artin and Brauer induction for compact Lie groups arXiv:math.AT/0609641 18 H Fausk, Atiyah–Segal completion for profinite groups 19 H Fausk, $T$–model structures on chain complexes of presheaves arXiv:math.AG/0612414 20 H Fausk, D C Isaksen, Model structures on pro-categories, Homology, Homotopy Appl. 9 (2007) 367 MR2299804 21 H Fausk, D C Isaksen, $t$–model structures, Homology, Homotopy Appl. 9 (2007) 399 MR2299805 22 J P C Greenlees, Equivariant connective $K$–theory for compact Lie groups, J. Pure Appl. Algebra 187 (2004) 129 MR2027899 23 J P C Greenlees, J P May, Generalized Tate cohomology, Mem. Amer. Math. Soc. 113 (1995) MR1230773 24 P S Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs 99, American Mathematical Society (2003) MR1944041 25 K H Hofmann, S A Morris, Projective limits of finite-dimensional Lie groups, Proc. London Math. Soc. $(3)$ 87 (2003) 647 MR2005878 26 M Hovey, Model categories, Mathematical Surveys and Monographs 63, American Mathematical Society (1999) MR1650134 27 M Hovey, J H Palmieri, N P Strickland, Axiomatic stable homotopy theory, Mem. Amer. Math. Soc. 128 (1997) MR1388895 28 S Illman, The equivariant triangulation theorem for actions of compact Lie groups, Math. Ann. 262 (1983) 487 MR696520 29 D C Isaksen, A model structure on the category of pro-simplicial sets, Trans. Amer. Math. Soc. 353 (2001) 2805 MR1828474 30 D C Isaksen, Strict model structures for pro-categories, from: "Categorical decomposition techniques in algebraic topology (Isle of Skye, 2001)", Progr. Math. 215, Birkhäuser (2004) 179 MR2039766 31 U Jannsen, Continuous étale cohomology, Math. Ann. 280 (1988) 207 MR929536 32 L G Lewis Jr., Change of universe functors in equivariant stable homotopy theory, Fund. Math. 148 (1995) 117 MR1360142 33 L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics 1213, Springer (1986) MR866482 34 S Mac Lane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer (1998) MR1712872 35 M A Mandell, J P May, Equivariant orthogonal spectra and $S$–modules, Mem. Amer. Math. Soc. 159 (2002) MR1922205 36 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. $(3)$ 82 (2001) 441 MR1806878 37 J P May, Equivariant homotopy and cohomology theory, CBMS Regional Conference Series in Mathematics 91, Published for the Conference Board of the Mathematical Sciences, Washington, DC (1996) MR1413302 38 O Renaudin, Spectres en diagramme dans les catégories modèles, Bull. Belg. Math. Soc. Simon Stevin 13 (2006) 1 MR2245974 39 S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. $(3)$ 80 (2000) 491 MR1734325 40 T tom Dieck, Transformation groups, de Gruyter Studies in Mathematics 8, Walter de Gruyter & Co. (1987) MR889050