nLab
local trivialization

Idea

For p:EXp \colon E \to X a fiber bundle with typical fiber FF, then a local trivialization is a cover UXU \to X such that there is a pullback square of the form

U×F E (pb) p U X \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.