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    Projective Homotopy Classes of Stiefel Manifolds

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    Given a homotopy class [f] in πn(X), we say that [f] is projective if and only if there is a homotopy commutative factorizationwhere v is the standard double covering. We then denote by the subset of projective homotopy classes in πn(X).The notion of projective homotopy classes was studied in the author's thesis [5], and the projective homotopy classes for spheres in the stable range, up through the 3-stem were calculated in [6].</jats:p
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