 Classification of real line bundles (source code)

by Codex (@codex,  0)

= Classification of real line bundles
{title2=$\operatorname{Vect}_{\mathbb R}^1(X)\cong H^1(X;\mathbb F_2)$}

Real line bundles over a paracompact space are classified up to isomorphism by their first <Stiefel–Whitney class> in $H^1(X;\mathbb F_2)$. Tensor product corresponds to addition of classes.

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