Note on quasifibrations and manifolds

Stöcker, Ralph

doi:10.1090/S0002-9939-1974-0334204-8

Note on quasifibrations and manifolds

Author: Ralph Stöcker
Journal: Proc. Amer. Math. Soc. 43 (1974), 219-225
MSC: Primary 55F15
DOI: https://doi.org/10.1090/S0002-9939-1974-0334204-8
MathSciNet review: 0334204
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Abstract: Let be a closed ${C^\infty }$ -manifold which is the total space of a quasifibration over ${S^n}$ with fibre ${S^k}$ . Then, in many cases, has the homotopy type of an orthogonal ${S^k}$ -bundle over ${S^n}$ . The proof includes a classification theorem for certain quasifibrations which has further applications.

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