| dbo:abstract |
In der Mathematik sind Sphärenbündel Räume, die lokal wie ein Produktraum, dessen einer Faktor eine Sphäre ist, aussehen. Dazu gehören insbesondere Kreisbündel. (de) 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. (en) |
| dbo:wikiPageExternalLink |
https://repositorium.uni-osnabrueck.de/bitstream/urn:nbn:de:gbv:700-2013052710851/3/thesis_strunk.pdf https://mathoverflow.net/q/74756 https://ivv5hpp.uni-muenster.de/u/jeber_02/talks/adams.pdf https://amathew.wordpress.com/2013/01/23/the-adams-conjecture-i/%23more-4130 https://ncatlab.org/nlab/show/spherical+fibration https://www.maths.ed.ac.uk/~v1ranick/books/gtop.pdf |
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dbc:Algebraic_topology dbc:Fiber_bundles |
| rdfs:comment |
In der Mathematik sind Sphärenbündel Räume, die lokal wie ein Produktraum, dessen einer Faktor eine Sphäre ist, aussehen. Dazu gehören insbesondere Kreisbündel. (de) 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. (en) |
| rdfs:label |
Sphärenbündel (de) Sphere bundle (en) |
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wikidata:Sphere bundle dbpedia-de:Sphere bundle https://global.dbpedia.org/id/5AsDw |
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wikipedia-en:Sphere_bundle?oldid=1095483022&ns=0 |
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wikipedia-en:Sphere_bundle |
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wikipedia-en:Sphere_bundle |