$v_n$ telescopes and the Adams spectral sequence

previous :: next

$v_n$ telescopes and the Adams spectral sequence

Mark Mahowald and Hal Sadofsky

Source: Duke Math. J. Volume 78, Number 1 (1995), 101-129.

First Page: Show

Primary Subjects: 55P42

Secondary Subjects: 55P60, 55Q10, 55T15

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.

If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285551
Mathematical Reviews number (MathSciNet): MR1328754
Zentralblatt MATH identifier: 0984.55008
Digital Object Identifier: doi:10.1215/S0012-7094-95-07806-5

back to Table of Contents

References

[1] D. W. Anderson and D. M. Davis, A vanishing theorem in homological algebra, Comment. Math. Helv. 48 (1973), 318–327.

Mathematical Reviews (MathSciNet): MR48:12526

Zentralblatt MATH: 0267.55022

Digital Object Identifier: doi:10.1007/BF02566125

[2] A. K. Bousfield, Localization and periodicity in unstable homotopy theory, preprint.

Mathematical Reviews (MathSciNet): MR1257059

Zentralblatt MATH: 0839.55008

Digital Object Identifier: doi:10.2307/2152734

JSTOR: links.jstor.org

[3] A. K. Bousfield, The Boolean algebra of spectra, Comment. Math. Helv. 54 (1979), no. 3, 368–377.

Mathematical Reviews (MathSciNet): MR81a:55015

Zentralblatt MATH: 0421.55002

Digital Object Identifier: doi:10.1007/BF02566281

[4] A. K. Bousfield, The localization of spectra with respect to homology, Topology 18 (1979), no. 4, 257–281.

Mathematical Reviews (MathSciNet): MR80m:55006

Zentralblatt MATH: 0417.55007

Digital Object Identifier: doi:10.1016/0040-9383(79)90018-1

[5] D. M. Davis and M. E. Mahowald, Some remarks on $v\sb 1$-periodic homotopy groups, Adams Memorial Symposium on Algebraic Topology, 2 (Manchester, 1990) eds. N. Rayand and G. Walker, London Math. Soc. Lecture Note Ser., vol. 176, Cambridge Univ. Press, Cambridge, 1992, pp. 55–72.

Mathematical Reviews (MathSciNet): MR94h:55015

Zentralblatt MATH: 0753.55004

[6] E. Devinatz, M. J. Hopkins, and J. H. Smith, Nilpotence and stable homotopy theory. I, Ann. of Math. (2) 128 (1988), no. 2, 207–241.

Mathematical Reviews (MathSciNet): MR89m:55009

Zentralblatt MATH: 0673.55008

Digital Object Identifier: doi:10.2307/1971440

JSTOR: links.jstor.org

[7] E. S. Devinatz, Small ring spectra, J. Pure Appl. Algebra 81 (1992), no. 1, 11–16.

Mathematical Reviews (MathSciNet): MR93g:55012

Zentralblatt MATH: 0759.55006

Digital Object Identifier: doi:10.1016/0022-4049(92)90131-X

[8] M. J. Hopkins, Global methods in homotopy theory, Homotopy theory (Durham, 1985) eds. J. D. S. Jones and E. Reea, London Math. Soc. Lecture Note Ser., vol. 117, Cambridge Univ. Press, Cambridge, 1987, pp. 73–96.

Mathematical Reviews (MathSciNet): MR89g:55022

Zentralblatt MATH: 0657.55008

[9] M. J. Hopkins and J. H. Smith, Nilpotence and stable homotopy theory II, to appear.

Mathematical Reviews (MathSciNet): MR1652975

Zentralblatt MATH: 0927.55015

Digital Object Identifier: doi:10.2307/120991

[10] M. E. Mahowald, The image of $J$ in the $EHP$ sequence, Ann. of Math. (2) 116 (1982), no. 1, 65–112.

Mathematical Reviews (MathSciNet): MR83i:55019

Zentralblatt MATH: 0504.55010

Digital Object Identifier: doi:10.2307/2007048

JSTOR: links.jstor.org

[11] M. E. Mahowald and R. D. Thompson, A commentary on: “Image of $J$ in the $EHP$ sequence”, Algebraic topology (Seattle, Wash., 1985) eds. H. R. Miller and D. C. Ravenel, Lecture Notes in Math., vol. 1286, Springer, Berlin, 1987, pp. 298–304.

Mathematical Reviews (MathSciNet): MR88j:55012

Zentralblatt MATH: 0637.55012

[12] M. E. Mahowald and P. Shick, Periodic phenomena in the classical Adams spectral sequence, Trans. Amer. Math. Soc. 300 (1987), no. 1, 191–206.

Mathematical Reviews (MathSciNet): MR88e:55019

Zentralblatt MATH: 0625.55016

Digital Object Identifier: doi:10.2307/2000595

JSTOR: links.jstor.org

[13] H. R. Margolis, Spectra and the Steenrod algebra, North-Holland Mathematical Library, vol. 29, North-Holland Publishing Co., Amsterdam, 1983.

Mathematical Reviews (MathSciNet): MR86j:55001

Zentralblatt MATH: 0552.55002

[14] H. R. Miller, On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space, J. Pure Appl. Algebra 20 (1981), no. 3, 287–312.

Mathematical Reviews (MathSciNet): MR82f:55029

Zentralblatt MATH: 0459.55012

Digital Object Identifier: doi:10.1016/0022-4049(81)90064-5

[15] H. R. Miller and C. Wilkerson, Vanishing lines for modules over the Steenrod algebra, J. Pure Appl. Algebra 22 (1981), no. 3, 293–307.

Mathematical Reviews (MathSciNet): MR82m:55024

Zentralblatt MATH: 0469.55012

Digital Object Identifier: doi:10.1016/0022-4049(81)90104-3

[16] J. Palmieri, The chromatic filtration and the Steenrod algebra, to appear.

Mathematical Reviews (MathSciNet): MR1263718

Zentralblatt MATH: 0797.55012

[17] J. Palmieri and H. Sadofsky, Self-maps of spectra, a theorem of J. Smith, and Margolis' killing construction, Math. Z. 215 (1994), no. 3, 477–490.

Mathematical Reviews (MathSciNet): MR94k:55016

Zentralblatt MATH: 0792.55005

Digital Object Identifier: doi:10.1007/BF02571725

[18] D. C. Ravenel, A counterexample to the telescope conjecture, to appear.

[19] D. C. Ravenel, Life after the telescope conjecture, Algebraic $K$-theory and algebraic topology (Lake Louise, AB, 1991), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 407, Kluwer Acad. Publ., Dordrecht, 1993, pp. 205–222.

Mathematical Reviews (MathSciNet): MR96i:55016

Zentralblatt MATH: 0899.55009

[20] D. C. Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), no. 2, 351–414.

Mathematical Reviews (MathSciNet): MR85k:55009

Zentralblatt MATH: 0586.55003

Digital Object Identifier: doi:10.2307/2374308

JSTOR: links.jstor.org

[21] P. Shick, Odd primary periodic phenomena in the classical Adams spectral sequence, Trans. Amer. Math. Soc. 309 (1988), no. 1, 77–86.

Mathematical Reviews (MathSciNet): MR89f:55020

Zentralblatt MATH: 0662.55006

Digital Object Identifier: doi:10.2307/2001159

JSTOR: links.jstor.org

previous :: next

Duke Mathematical Journal

Turn MathJax Off
What is MathJax?