local trivialization

For $p \colon E \to X$ a fiber bundle with typical fiber $F$, then a *local trivialization* is a cover $U \to X$ such that there is a pullback square of the form

$\array{
U \times F &\longrightarrow& E
\\
\downarrow &(pb)& \downarrow^{\mathrlap{p}}
\\
U &\longrightarrow& X
}$

Last revised on August 1, 2018 at 08:05:29. See the history of this page for a list of all contributions to it.