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References
[A] D.W. Anderson, “Fibrations and geometric realizations”,Bull. AMS 84 (1978) No. 5, pp. 765–788
[Bl] D. Blanc, “A Hurewicz spectral sequence for homology”,Trans. AMS 318 (1990) No. 1, pp. 335–354.
[BS] D. Blanc & C.R. Stover, “A generalized Grothendieck spectral sequence”, inAdams Memorial Symp. on Alg. Top. 1, (ed. N. Ray & G. Walker), LMS Lec. Notes Ser.175, Camb. U. 1992, pp. 145–161.
[BT] D. Blanc & R.D. Thompson, “M-equivalences and homotopy colimits”, in B. Cenkl & H. Miller, eds.,Proceedings of the Ĉech Centennial Homotopy Theory Conference, Contemp. Math.,to appear.
[Bo1] A.K. Bousfield, “Construction of factorization systems in categories”,J. Pure Appl. Alg.,9 (1977) pp. 207–220.
[Bo2] A.K. Bousfield, “Localization and periodicity in unstable homotopy theory”,Jour. AMS 7 (1994) No. 4, pp. 831–873.
[BF] A.K. Bousfield & E.M. Friedlander, “Homotopy theory of Γ-spaces, spectra, and bisimplicial sets”, inGeometric Applications of Homotopy Theory, II, ed. M.G. Barratt & M.E. Mahowald, Springer-VerlagLec. Notes Math. 658, Berlin-New York 1978, pp. 80–130.
[BK1] A.K. Bousfield & D.M. Kan,Homotopy limits, Completions, and Localizations, Springer-VerlagLec. Notes Math. 304, Berlin-New York 1972.
[BK2] A.K. Bousfield & D.M. Kan, “The homotopy spectral sequence of a space with coefficients in a ring”Topology 11 (1972) No. 1, pp. 79–106.
[CPP] C. Casacuberta, G. Peschke & M. Pfenniger, “On orthogonal pairs in categories and localization”,Adams Memorial Symp. on Alg. Top., I, (ed. N. Ray & G. Walker), LMS Lec. Notes Ser.175, Camb. U. 1992, pp. 211–223.
[CN] F. Cohen & J. Neisendorfer, “A note on desuspending the Adams map”,Math. Proc. Camb. Phil. Soc. 99 (1986), pp. 59–64.
[D] E.S. Devinatz, “Small ring spectra”,J. Pure Appl. Alg.,81 (1992) No. 1, pp. 11–16;
[DHS] E.S. Devinatz, M.J. Hopkins & J.H. Smith, “Nilpotence and Stable Homotopy theory I”,Ann. Math. 128 (1988), pp. 207–241.
[DF1] E. Dror Farjoun, “Homotopy Localization andv 1-Periodic Spaces”, inAlgebraic Topology-Homotopy and Group Cohomology, ed. J. Aguadé, M. Castellet & F.R. Cohen, Springer-VerlagLec. Notes Math. 304, Berlin-New York 1992, pp. 104–114.
[DF2] E. Dror- Farjoun, “Localizations, fibrations, and conic structures”,preprint 1991.
[DS] E. Dror-Farjoun & J.H. Smith, “Homotopy localization nearly preserves fibrations”,preprint 1992.
[EH] D.A. Edwards & H.M. Hastings,Čech and Steenrod Homotopy Theories, Springer-VerlagLec. Notes Math. 542, Berlin-New York 1976.
[Go] R. Godement,Topologie algébrique et théorie des faisceaux, Act. Sci. & Ind. No. 1252, Publ. Inst. Math. Univ. StrasbourgXIII, Hermann, Paris 1964.
[Gr1] B. Gray,Homotopy Theory: An Introduction to Algebraic Topology, Academic Press, New York, 1975.
[Gr2] B. Gray,in preparation.
[HS] M.J. Hopkins & J.H. Smith, “Nilpotence and Stable Homotopy theory II”,preprint 1992.
[Mc] S. Mac Lane,Categories for the working mathematician, GTM 5, Springer-Verlag, Berlin-New York 1971.
[Ma1] M.E. Mahowald, “The Image ofJ in theEHP sequence”,Ann. Math.,116 (1982) No. 1, pp. 65–112.
[Ma2] M.E. Mahowald, “bo resolutions”,Pacific J. Math.,92 (1981) pp. 365–383.
[MT] M.E. Mahowald & R.D. Thompson, “TheK-theory localization of an unstable sphere”,Topology 31 (1992) No. 1, pp. 133–141.
[M1] J.P. May,Simplicial Objects in Algebraic Topology, U. of Chicago Press, Chicago-London, 1967.
[M2] J.P. May,The geometry of iterated loop spaces, Springer-VerlagLec. Notes Math. 271, Berlin-New York 1972
[Mi] J.P. Milnor, “On axiomatic homology theory”,Pac. J. Math. 12 (1962), pp. 337–341
[N] J.A. Neisendorfer,Primary homotopy theory, Mem. AMS25 (No. 232), AMS, Providence, RI, 1980.
[Q1] D.G. Quillen,Homotopical Algebra, Springer-VerlagLec. Notes Math. 20, Berlin-New York 1963.
[Q2] D.G. Quillen, “Spectral sequences of a double semi-simplicial group”,Topology 5 (1966), pp. 155–156.
[R1] D.C. Ravenel, “Localization with respect to certain periodic homology theories”,Am. J. Math. 106 (1984) No. 2, pp. 351–414.
[R2] D.C. Ravenel,Nilpotence and Periodicity in Stable Homotopy Theory, Ann. Math. Studies128, Princeton U. Press, Princeton, NJ, 1992.
[Se] G. Segal, “Classifying spaces and spectral sequences”,Inst. Haut. Et. Sci. Publ. Math.No 34 (1968), pp. 105–112.
[St] C.R. Stover, “A Van Kampen spectral sequence for higher homotopy groups”,Topology,29 (1990) No. 1, pp. 9–26.
[T1] R.D. Thompson, “Unstablev 1-periodic homotopy groups of a Moore space”,Proc. AMS 107 (1989) No. 3, pp. 833–845.
[T2] R.D. Thompson, “Thev 1-periodic homotopy groups of an unstable sphere at odd primes”,Trans AMS 319 (1990) No. 2, pp. 535–559
[Vo] R.M. Vogt, “Commuting homotopy limits”,Math. Z.,153 (1977), pp. 59–82.
[W] G.W. Whitehead,Elements of homotopy theory, GTM61, Springer-Verlag, Berlin-New York 1971.
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The work on this paper was done while the authors were at the Hebrew University of Jerusalem and Northwestern University, respectively. Second author supported by the NSF.
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Blanc, D., Thompson, R.D. A suspension spectral sequence forv n-periodic homotopy groups. Math Z 220, 11–35 (1995). https://doi.org/10.1007/BF02572600
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DOI: https://doi.org/10.1007/BF02572600