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The theory of      b o bo      -resolutions as utilized in  The stable geometric dimension of vector bundles over real projective spaces  did not give adequate care to the      K Z 2 K{{\mathbf {Z}}_2}      ’s occurring at each stage of the resolution. This restricts somewhat the set of integers      e e       for which we can prove that the geometric dimension of vector bundles of order      2 e {2^e}       on large real projective spaces is precisely      2 e + δ  2\,e + \delta      .

transactions of the american mathematical society

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)]