 Home

Codex Wiki

Mathematics

Area of mathematics

Geometry and topology

Algebraic topology

Fiber bundle

Vector bundle

Stiefel–Whitney class

{c}
{title2=$w_1(L\otimes L')$}

Real line bundles are classified by $H^1(X;\mathbb F_2)$, and tensor product corresponds to addition:
$$
w_1(L\otimes L')=w_1(L)+w_1(L').
$$


First Stiefel–Whitney class of a tensor product of real line bundles

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 142 / 1 / Solution

First Stiefel–Whitney class of a tensor product of real line bundles ( $w_{1} (L \otimes L^{'})$ )

 Ancestors (8)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

First Stiefel–Whitney class of a tensor product of real line bundles (w1​(L⊗L′))

 Ancestors (8)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

First Stiefel–Whitney class of a tensor product of real line bundles ( $w_{1} (L \otimes L^{'})$ )

 Discussion (0)