Bulletin of the American Mathematical Society
- Bull. Amer. Math. Soc.
- Volume 78, Number 6 (1972), 981-987.
Applications of the transfer to stable homotopy theory
Daniel S. Kahn and Stewart B. Priddy
Full-text: Open access
Article information
Source
Bull. Amer. Math. Soc., Volume 78, Number 6 (1972), 981-987.
Dates
First available in Project Euclid: 4 July 2007
Permanent link to this document
https://projecteuclid.org/euclid.bams/1183534135
Mathematical Reviews number (MathSciNet)
MR0309109
Zentralblatt MATH identifier
0265.55009
Subjects
Primary: 55B20 55E45
Secondary: 21J05 55B15
Citation
Kahn, Daniel S.; Priddy, Stewart B. Applications of the transfer to stable homotopy theory. Bull. Amer. Math. Soc. 78 (1972), no. 6, 981--987. https://projecteuclid.org/euclid.bams/1183534135
References
- 1. M. Atiyah, Characters and cohomology of finite groups, Inst. Hautes Ètudes Sci. Publ. Math. No. 9 (1961), 23-64. MR 26 #6228.Zentralblatt MATH: 0107.02303
Mathematical Reviews (MathSciNet): MR148722
Digital Object Identifier: doi:10.1007/BF02698718 - 2. M. Barratt and P. J. Eccles, On a theorem of D. S. Kahn's, University of Manchester (mimeograph).
- 3. M. Barratt, D. Kahn and S. Priddy, On Ω∞S∞ and the infinite symmetric group, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc., Providence, R. I., 1971.
- 4. E. Dyer and R. Lashof, Homology of iterated loop spaces, Amer. J. Math. 84 (1962), 35-88. MR 25 #4523.Zentralblatt MATH: 0119.18206
Mathematical Reviews (MathSciNet): MR141112
Digital Object Identifier: doi:10.2307/2372804 - 5. A. Dold, Decomposition theorems for S(n)-complexes, Ann. of Math. (2) 75 (1962), 8-16. MR 25 #569.Zentralblatt MATH: 0125.01201
Mathematical Reviews (MathSciNet): MR137113
Digital Object Identifier: doi:10.2307/1970415 - 6. B. Eckmann, On complexes with operators, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 35-42. MR 15, 459.Zentralblatt MATH: 0050.17204
Mathematical Reviews (MathSciNet): MR58976
Digital Object Identifier: doi:10.1073/pnas.39.1.35 - 7. L. Evens, Steenrod operations and transfer, Proc. Amer. Math. Soc. 19 (1968), 1387-1388. MR 38 # 1669.Zentralblatt MATH: 0186.27005
Mathematical Reviews (MathSciNet): MR233347
Digital Object Identifier: doi:10.1090/S0002-9939-1968-0233347-4 - 8. L. Evens, A generalization of the transfer map in the cohomology of groups, Trans. Amer. Math. Soc. 108 (1963), 54-65. MR 27 #3686.Zentralblatt MATH: 0122.02804
Mathematical Reviews (MathSciNet): MR153725
Digital Object Identifier: doi:10.1090/S0002-9947-1963-0153725-1 - 9. M. Mahowald, The metastable homotopy of Sn, Amer. Math. Soc. Memoir No. 72 (1967). MR 38 #5216.
- 10. J. P. May, Categories of spectra and infinite loop spaces, Category Theory, Homology Theory and their Applications, (Battelle Institute Conference, Seattle, Wash., 1968), vol. III, Springer, Berlin, 1969, pp. 448-479. MR 40 #2073.
- 11. M. Nakaoka, Decomposition theorem for homology groups of symmetric groups, Ann. of Math. (2) 71 (1960), 16-42. MR 22 # 2989.Zentralblatt MATH: 0090.39002
Mathematical Reviews (MathSciNet): MR112134
Digital Object Identifier: doi:10.2307/1969878 - 12. D. Quillen, The Adams conjecture, Topology 10 (1970), 67-80. MR 43 # 5525.Zentralblatt MATH: 0219.55013
Mathematical Reviews (MathSciNet): MR279804
Digital Object Identifier: doi:10.1016/0040-9383(71)90018-8 - 13. G. Segal, Homotopy-everything H-spaces (preprint).Mathematical Reviews (MathSciNet): MR33342
- 14. G. Whitehead, Recent advances in homotopy theory, Regional Conference Series in Math., no. 5, Amer. Math. Soc., Providence, R. I., 1970.
American Mathematical Society

- You have access to this content.
- You have partial access to this content.
- You do not have access to this content.
More like this
- Transfer and complex oriented cohomology rings
Bakuradze, Malkhaz and Priddy, Stewart, Algebraic & Geometric Topology, 2003 - Homological perturbation theory for algebras over operads
Berglund, Alexander, Algebraic & Geometric Topology, 2014 - Semitopologization in motivic homotopy theory and applications
Krishna, Amalendu and Park, Jinhyun, Algebraic & Geometric Topology, 2015
- Transfer and complex oriented cohomology rings
Bakuradze, Malkhaz and Priddy, Stewart, Algebraic & Geometric Topology, 2003 - Homological perturbation theory for algebras over operads
Berglund, Alexander, Algebraic & Geometric Topology, 2014 - Semitopologization in motivic homotopy theory and applications
Krishna, Amalendu and Park, Jinhyun, Algebraic & Geometric Topology, 2015 - The Boardman category of spectra, chain complexes and
(co-)localizations
Bauer, Friedrich W., Homology, Homotopy and Applications, 1999 - Decomposition of loop spaces and periodic problem on $\pi_{\ast}$
Chen, Weidong and Wu, Jie, Algebraic & Geometric Topology, 2013 - Classifying spectra of saturated fusion systems
Ragnarsson, Kári, Algebraic & Geometric Topology, 2006 - A decomposition formula for equivariant stable
homotopy classes
Marzantowicz, Wacław and Prieto, Carlos, Topological Methods in Nonlinear Analysis, 2009 - Algebraic Kasparov K-theory, II
Garkusha, Grigory, Annals of K-Theory, 2016 - Motivic complexes over nonperfect fields
Suslin, Andrei, Annals of K-Theory, 2017 - Restriction to finite-index subgroups as étale extensions in topology, KK–theory and geometry
Balmer, Paul, Dell’Ambrogio, Ivo, and Sanders, Beren, Algebraic & Geometric Topology, 2015
