In mathematics, a **bundle map** (or **bundle morphism**) is a morphism in the category of fiber bundles. There are two distinct, but closely related, notions of bundle map, depending on whether the fiber bundles in question have a common base space. There are also several variations on the basic theme, depending on precisely which category of fiber bundles is under consideration. In the first three sections, we will consider general fiber bundles in the category of topological spaces. Then in the fourth section, some other examples will be given.

Read more about Bundle Map: Bundle Maps Over A Common Base, General Morphisms of Fiber Bundles, Relation Between The Two Notions, Variants and Generalizations

### Other articles related to "bundle map, bundles, map, bundle":

**Bundle Map**- Variants and Generalizations

... There are two kinds of variation of the general notion of a

**bundle map**... First, one can consider fiber

**bundles**in a different category of spaces ... This leads, for example, to the notion of a smooth

**bundle map**between smooth fiber

**bundles**over a smooth manifold ...

... The differential of a smooth

**map**φ induces, in an obvious manner, a

**bundle map**(in fact a vector

**bundle**homomorphism) from the tangent

**bundle**of M to the tangent

**bundle**of N ... Equivalently (see

**bundle map**), φ* = dφ is a

**bundle map**from TM to the pullback

**bundle**φ*TN over M, which may in turn be viewed as a section of the vector

**bundle**Hom(TM,φ*TN) over M ...

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—William Burroughs (b. 1914)

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But he can’t with that *bundle* he has on his shoulders,

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Till he learns the distinction ‘twixt singing and preaching;”

—James Russell Lowell (1819–1891)