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MR1224927 (95c:55025) 55S35 (55N15 55N20 55P42 55R25)
Rudyak, Yuly On the orientability of bundles and fibrations: the obstruction theory and applications to $K,\;K{\rm O}$ and Morava $K$-theories. Algebraic topology (Oaxtepec, 1991), 383--405, Contemp. Math., 146, Amer. Math. Soc., Providence, RI, 1993.
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