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Home > Breaking Math Podcast > 59: A Good Source of Fibers (Fiber Bundles)
Podcast: Breaking Math Podcast
Episode:

59: A Good Source of Fibers (Fiber Bundles)

Category: Science & Medicine
Duration: 00:47:46
Publish Date: 2021-03-21 21:43:02
Description:

Mathematics is full of all sorts of objects that can be difficult to comprehend. For example, if we take a slip of paper and glue it to itself, we can get a ring. If we turn it a half turn before gluing it to itself, we get what's called a Möbius strip, which has only one side twice the length of the paper. If we glue the edges of the Möbius strip to each other, and make a tube, you'll run into trouble in three dimensions, because the object that this would make is called a Klein flask, and can only exist in four dimensions. So what is a fiber? What can fiber bundles teach us about higher dimensional objects?


All of this, and more, on this episode of Breaking Math.


[Featuring: Sofía Baca, Meryl Flaherty]

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