On the Stable Homotopy Type of Thom Complexes
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1285-1294

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Let α be a real vector bundle over a finite CW complex X and let T(α;X) be its associated Thorn complex. We propose to study the S-type (stable homotopy type) of Thorn complexes in the framework of the Atiyah-Adams J-Theory. Therefore we focus our attention on the group J R(X) which is defined to be the group of orthogonal sphere bundles over X modulo stable fiber homotopy equivalence.
Held, R. P.; Sjerve, D. On the Stable Homotopy Type of Thom Complexes. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1285-1294. doi: 10.4153/CJM-1973-135-5
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