2024-03-29T05:24:56Z
https://u-ryukyu.repo.nii.ac.jp/oai
oai:u-ryukyu.repo.nii.ac.jp:02007138
2022-10-31T03:15:28Z
1642837622505:1642837994858:1642837998128
1642838403551:1642838406414
Locally Trivial Fiber Spaces and Stiefel-Whitney Classes
Maehara, Ryuji
前原, 竜二
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
http://purl.org/coar/resource_type/c_6501
琉球大学理工学部
Science and Engineering Division, University of the Ryukyus
1974-03
VoR
http://hdl.handle.net/20.500.12000/24620
AN0025080X
琉球大学理工学部紀要. 理学編
Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences
17
10
1
eng
open access