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Correction to: ``The stable geometric dimension of vector bundles over real projective spaces'' [Trans. Amer. Math. Soc. 268 (1981), no. 1, 39-61; MR0628445 (83c:55006)]


Authors: Donald M. Davis, Sam Gitler and Mark Mahowald
Journal: Trans. Amer. Math. Soc. 280 (1983), 841-843
MSC: Primary 55N15; Secondary 55R25
DOI: https://doi.org/10.1090/S0002-9947-1983-0716854-X
Original Article: Trans. Amer. Math. Soc. 268 (1981), 39-61.
MathSciNet review: 716854
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Abstract: The theory of $ bo$-resolutions as utilized in The stable geometric dimension of vector bundles over real projective spaces did not give adequate care to the $ K{{\mathbf{Z}}_2}$'s occurring at each stage of the resolution. This restricts somewhat the set of integers $ e$ for which we can prove that the geometric dimension of vector bundles of order $ {2^e}$ on large real projective spaces is precisely $ 2\,e + \delta $.


References [Enhancements On Off] (What's this?)

  • [1] D. M. Davis, The splitting of $ BO\langle 8 \rangle \wedge \;bo$ and $ MO\langle 8 \rangle \wedge \;bo$, Trans. Amer. Math. Soc. 276 (1983), 671-684. MR 688969 (85e:55033)
  • [2] D. M. Davis, S. Gitler and M. Mahowald, The stable geometric dimension of vector bundles over real projective spaces, Trans. Amer. Math. Soc. 268 (1981), 39-61. MR 628445 (83c:55006)
  • [3] M. Mahowald, $ bo$-resolutions, Pacific J. Math. 92 (1981), 365-383. MR 618072 (82m:55017)
  • [4] -, An addendum to $ bo$-resolutions, Pacific J. Math. (to appear).
  • [5] -, The image of $ J$ in the $ EHP$-sequence, Ann. of Math. (2) 116 (1982), 65-112. MR 662118 (83i:55019)

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DOI: https://doi.org/10.1090/S0002-9947-1983-0716854-X
Article copyright: © Copyright 1983 American Mathematical Society

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