About: Sphere bundle

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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.

Attributes	Values
rdfs:label	Sphärenbündel (de) Sphere bundle (en)
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)
dcterms:subject	Algebraic topology Fiber bundles
Wikipage page ID	48880896 (xsd:integer)
Wikipage revision ID	1095483022 (xsd:integer)
Link from a Wikipage to another Wikipage	Dennis Sullivan Mathematics Orientation of a vector bundle Homotopy equivalent Topology Algebraic topology Fiber bundle Smale conjecture Fiber bundles Disk (mathematics) Sphere Circle bundle Fibration Klein bottle Orientability Alexander trick
Link from a Wikipage to an external page	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
sameAs	Sphere bundle Sphere bundle Sphere bundle
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Manifolds dbt:Topology-stub
has 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)
prov:wasDerivedFrom	wikipedia-en:Sphere_bundle?oldid=1095483022&ns=0
page length (characters) of wiki page	3139 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Sphere_bundle
is Link from a Wikipage to another Wikipage of	Integration along fibers Thom space Quaternionic manifold Glossary of algebraic topology Fiber bundle Smale conjecture Tubular neighborhood Circle bundle Michael Atiyah Vector bundle Santaló's formula
is foaf:primaryTopic of	wikipedia-en:Sphere_bundle

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