Sphere bundle
id:
sphere-bundle-246-3813231
title:
Sphere bundle
text:
In the mathematical field of topology, a sphere bundle is a fiber bundle in which the fibers are spheres S n of some dimension n. Similarly, in a disk bundle, the fibers are disks D n . From a topological perspective, there is no difference between sphere bundles and disk bundles: this is a consequence of the Alexander trick, which implies BTop ≃ BTop . An example of a sphere bundle is the torus, which is orientable and has S 1 fibers over an S 1 base space. The non-orientable Klein bottle a
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Sphere_bundle
date created:
date modified:
2022-06-28T16:47:12Z
main entity:
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fields total:
13
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13