Vector bundle

Category of vector bundles

The category of vector bundles over 𝑋, denoted 𝖵𝖾𝖼𝗍𝖢𝑋,¹ is a category where an object is a vector bundle over 𝑋 and a morphism is a vector bundle morphism. topology

Closed monoidal structure

todo

Related

• There is a forgetful inclusion into Category of fibre bundles.

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Footnotes

1. If 𝖢 is clear from context we instead denote the category by 𝖵𝖾𝖼𝗍𝑋. There should be no risk of confusing this with ordinary Category of vector spaces. ↩