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Projective Homotopy Classes of Stiefel Manifolds
Published online by Cambridge University Press: 20 November 2018
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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 factorization
where 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].
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- Copyright © Canadian Mathematical Society 1972