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No.17 (1974/03) >

 
Title :Locally Trivial Fiber Spaces and Stiefel-Whitney Classes
Authors :Maehara, Ryuji
Authors alternative :前原, 竜二
Issue Date :Mar-1974
Abstract :E. Fadell [3] generalized the notion of a plane bundle, and gave a definition of 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.
Type Local :紀要論文
Publisher :琉球大学理工学部
URI :http://hdl.handle.net/20.500.12000/24620
Citation :琉球大学理工学部紀要. 理学編 = Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences no.17 p.1 -10
Appears in Collections:No.17 (1974/03)

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