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A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.

1 vote

Why is cotangent more canonical than tangent?

Though I am late for this answer by almost 7 years, but still want to give a try. I have the following picture in mind. $$\text{Cotangent Bundles}\leftrightarrow \text{Pull-backs}\leftrightarrow \tex …
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