Sphere bundle

http://dbpedia.org/resource/Sphere_bundle

In der Mathematik sind Sphärenbündel Räume, die lokal wie ein Produktraum, dessen einer Faktor eine Sphäre ist, aussehen. Dazu gehören insbesondere Kreisbündel. rdf:langString
In the mathematical field of topology, a sphere bundle is a fiber bundle in which the fibers are spheres of some dimension n. Similarly, in a disk bundle, the fibers are disks . From a topological perspective, there is no difference between sphere bundles and disk bundles: this is a consequence of the Alexander trick, which implies A circle bundle is a special case of a sphere bundle. rdf:langString
rdf:langString Sphärenbündel
rdf:langString Sphere bundle
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rdf:langString In der Mathematik sind Sphärenbündel Räume, die lokal wie ein Produktraum, dessen einer Faktor eine Sphäre ist, aussehen. Dazu gehören insbesondere Kreisbündel.
rdf:langString In the mathematical field of topology, a sphere bundle is a fiber bundle in which the fibers are spheres of some dimension n. Similarly, in a disk bundle, the fibers are disks . From a topological perspective, there is no difference between sphere bundles and disk bundles: this is a consequence of the Alexander trick, which implies An example of a sphere bundle is the torus, which is orientable and has fibers over an base space. The non-orientable Klein bottle also has fibers over an base space, but has a twist that produces a reversal of orientation as one follows the loop around the base space. A circle bundle is a special case of a sphere bundle.
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