Bundle (mathematics) | Wikipedia audio article
Channel: wikipedia tts
Date: 07/10/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Bundle_(mathematics)


00:00:32 1 Definition
00:01:05 2 Examples
00:01:38 3 Bundle objects
00:02:10 4 See also
00:02:43 5 Notes



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SUMMARY
=======
In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a topology. Without this requirement, more general objects can be considered bundles. For example, one can consider a bundle π: E→ B with E and B sets. It is no longer true that the preimages 
  
    
      
        
          π
          
            −
            1
          
        
        (
        x
        )
      
    
    {\displaystyle \pi ^{-1}(x)}
   must all look alike, unlike fiber bundles where the fibers must all be isomorphic (in the case of vector bundles) and homeomorphic.