On the Thom spectra over and Mahowald's spectra

Author:
Dung Yung Yan

Journal:
Proc. Amer. Math. Soc. **116** (1992), 567-573

MSC:
Primary 55P10

MathSciNet review:
1123672

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Abstract: The Thom spectra induced from is a wedge of suspensions of Mahowald's spectra that is induced from , where is the th stage of the James construction.

**[1]**F. R. Cohen, J. P. May, and L. R. Taylor,*𝐾(𝑍,0) and 𝐾(𝑍₂,0) as Thom spectra*, Illinois J. Math.**25**(1981), no. 1, 99–106. MR**602900****[2]**M. J. Hopkins,*Stable decomposition of certain loop spaces*, Thesis, Northwestern Univ., Evanston, IL, 1984.**[3]**Ib Madsen and R. James Milgram,*On spherical fiber bundles and their 𝑃𝐿 reductions*, New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972), Cambridge Univ. Press, London, 1974, pp. 43–59. London Math. Soc. Lecture Note Ser., No. 11. MR**0343286****[4]**Mark Mahowald,*A new infinite family in ₂𝜋_{*}^{𝑠}*, Topology**16**(1977), no. 3, 249–256. MR**0445498****[5]**Mark Mahowald,*Ring spectra which are Thom complexes*, Duke Math. J.**46**(1979), no. 3, 549–559. MR**544245****[6]**John W. Milnor and John C. Moore,*On the structure of Hopf algebras*, Ann. of Math. (2)**81**(1965), 211–264. MR**0174052****[7]**N. E. Steenrod,*Cohomology operations*, Lectures by N. E. STeenrod written and revised by D. B. A. Epstein. Annals of Mathematics Studies, No. 50, Princeton University Press, Princeton, N.J., 1962. MR**0145525****[8]**Dung Yung Yan,*Brown-Peterson homology of Mahowald's**spectra*, preprint.**[9]**E. C. Zeeman,*A proof of the comparison theorem for spectral sequences*, Proc. Cambridge Philos. Soc.**53**(1957), 57–62. MR**0084769**

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1992-1123672-0

Article copyright:
© Copyright 1992
American Mathematical Society