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- I-bundle abstract "In mathematics, an I-bundle is a fiber bundle whose fiber is an interval and whose base is a manifold. Any kind of interval, open, closed, semi-open, semi-closed, open-bounded, compact, even rays, can be the fiber.Two simple examples of I-bundles are the annulus and the Möbius band, the only two possible I-bundles over the circle . The annulus is a trivial or untwisted bundle because it corresponds to the Cartesian product , and the Möbius band is a non-trivial or twisted bundle. Both bundles are 2-manifolds, but the annulus is an orientable manifold while the Möbius band is a non-orientable manifold.Curiously, there are only two kinds of I-bundles when the base manifold is any surface but the Klein bottle . That surface has three I-bundles: the trivial bundle and two twisted bundles.Together with the Seifert fiber spaces, I-bundles are fundamental elementary building blocks for the description of three-dimensional spaces. These observations are simple well known facts on elementary 3-manifolds. Line bundles are both I-bundles and vector bundles of rank one. When considering I-bundles, one is interested mostly in their topological properties and not their possible vector properties, as we might be for line bundles.".
- I-bundle thumbnail MobiusF.PNG?width=300.
- I-bundle wikiPageExternalLink casaliIMF5-8-2008.pdf.
- I-bundle wikiPageExternalLink LSUTalk.pdf.
- I-bundle wikiPageID "22537624".
- I-bundle wikiPageRevisionID "597160848".
- I-bundle hasPhotoCollection I-bundle.
- I-bundle subject Category:3-manifolds.
- I-bundle subject Category:Fiber_bundles.
- I-bundle subject Category:Geometric_topology.
- I-bundle type AnimalTissue105267548.
- I-bundle type BodyPart105220461.
- I-bundle type FiberBundle105475681.
- I-bundle type FiberBundles.
- I-bundle type NervousTissue105296775.
- I-bundle type Part109385911.
- I-bundle type PhysicalEntity100001930.
- I-bundle type Thing100002452.
- I-bundle type Tissue105267345.
- I-bundle comment "In mathematics, an I-bundle is a fiber bundle whose fiber is an interval and whose base is a manifold. Any kind of interval, open, closed, semi-open, semi-closed, open-bounded, compact, even rays, can be the fiber.Two simple examples of I-bundles are the annulus and the Möbius band, the only two possible I-bundles over the circle . The annulus is a trivial or untwisted bundle because it corresponds to the Cartesian product , and the Möbius band is a non-trivial or twisted bundle.".
- I-bundle label "I-bundle".
- I-bundle sameAs m.05z_rq0.
- I-bundle sameAs Q5967726.
- I-bundle sameAs Q5967726.
- I-bundle sameAs I-bundle.
- I-bundle wasDerivedFrom I-bundle?oldid=597160848.
- I-bundle depiction MobiusF.PNG.
- I-bundle isPrimaryTopicOf I-bundle.
