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What needs to be done to prove that a vector bundle is trivial?
2019年2月13日 · Definition: $E$ is trivial iff $E$ is vector bundle isomorphic to the trivial bundle $X\times \mathbb{R}^n$. This is the definition of a trivial bundle with arbitrary fibre type, just …
What is a trivial and a non-trivial solution in terms of linear …
2016年11月8日 · Trivial group is one that consists of just one element, the identity element. Trivial vector bundle is actual product with vector space (instead of one that is merely looks like a …
微分几何 Tu-7(7.1-7.4) - Vector Bundles - 知乎 - 知乎专栏
2021年3月20日 · 我们称2中的open set U 为一个 trivializing open subset for the vector bundle，称 \phi_U 为 \pi^ {-1} (U) 的一个 trivialization。 一个vector bundle的trivializing open cover是一个 …
平凡向量丛 - 百度百科
平凡向量丛(trivial vector bundle)一类特殊的向量丛.若向量x=(E，p，B)有一个丛卡(B,p)，则称p是平凡向量丛.根据向量丛的同伦性质，任何可缩的仿紧空间上的向量丛都是平凡的.
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