Locally Trivial Fiber Spaces and Stiefel-Whitney Classes
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概要
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E. Fadell [3] generalized the notion of a plane bundle, and gave a definitionof generalized tangent bundle τ_M for a topological manifold M. In this paper,we prove Theorem Let F―^^j → E―^^p → B be a locally trivial fiber space such that F, B, E are topological manifolds Then there exist generalized plane bundles ξ, η over E with the Properties: τ_F = j^*(η), ξ～^^* j^*(τ_B) and (τ_E) ～^^* ξ【○!+】η where j^*(η), p^*(τ_B) denote the generalized plane bundles indvced from η, τ_B by j, p, respectively; ～^^* denotes fiber homotopy equivalence; and 【○!+】 denotes the Whitney sum. Some consequences and applications of the theorem will be discussed in sections 4, 5.
- 琉球大学理工学部の論文
- 1974-03-00
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