@article{oai:u-ryukyu.repo.nii.ac.jp:02007138, author = {Maehara, Ryuji and 前原, 竜二}, issue = {17}, journal = {琉球大学理工学部紀要. 理学編, Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences}, month = {Mar}, note = {E. Fadell [3] generalized the notion of a plane bundle, and gave a definition\nof generalized tangent bundle τ_M for a topological manifold M. In this paper,\nwe 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., 紀要論文}, pages = {1--10}, title = {Locally Trivial Fiber Spaces and Stiefel-Whitney Classes}, year = {1974} }