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5 results on '"I. M. James"'

1. General Topology

Author

I. M. James, Robert F. Brown, Klaus Janich, and Jacques Dixmier

Subjects
n-connected, Homotopy lifting property, Computer science, General Mathematics, Homotopy, Loop space, General topology, Topology, Geometry and topology, Regular homotopy, Topology (chemistry)
Published
1987
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5. On the Homotopy Type of Stiefel Manifolds

Author

I. M. James

Subjects
Pure mathematics, Homotopy lifting property, Applied Mathematics, General Mathematics, Homotopy, Mathematical analysis, Mathematics::Algebraic Topology, Regular homotopy, Stiefel manifold, n-connected, Mathematics::Algebraic Geometry, Homotopy sphere, Immersion (mathematics), Fiber bundle, Mathematics::Symplectic Geometry, Mathematics
Abstract

Suppose that we have a fibre bundle where the total space has the same homotopy type as the product of the fibre and the base. When can we conclude that the bundle is trivial, in the sense of fibre bundle theory? This question arises in the classification theory of Hopf homogeneous spaces, especially in relation to Stiefel manifolds. Results are proved, using cohomology operations, which answer the question in some cases.

Published
1971
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