Fibre bundle

Bundle map

Let 𝐹 𝐸 𝜋𝑋 and 𝐹 𝐸 𝜋𝑋 be fibre bundles over a common base space 𝑋 in a category 𝖢. A bundle map 𝑓 :𝐸 𝐸 is a map 𝑓 𝖢(𝐸,𝐸) such that

https://q.uiver.app/#q=WzAsMyxbMCwwLCJFIl0sWzIsMCwiRSciXSxbMSwyLCJYIl0sWzAsMSwiZiJdLFswLDIsIlxccGkiLDIseyJzdHlsZSI6eyJoZWFkIjp7Im5hbWUiOiJlcGkifX19XSxbMSwyLCJcXHBpJyIsMCx7InN0eWxlIjp7ImhlYWQiOnsibmFtZSI6ImVwaSJ9fX1dXQ==

commutes in 𝖢. Bundle maps are the morphisms of 𝖡𝗎𝗇𝖽𝖢𝑋.


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