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Examples offiber bundle
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Every rational tiling space is afiberbundleover the torus.
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We then show that every rational tiling is afiberbundleover the torus.
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A tiling space that satisfies the above hypotheses is afiberbundleover the torus, with totally disconnected fiber.
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Thefiberbundleconsists of a collection of 80 single fibers of 100 mm core diameter.
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This reduces cross-talk between the fibers, or reduces flare infiberbundleimaging applications.
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This example is from Wikipedia and may be reused under a CC BY-SA license.If thefiberbundleis a vector bundle, then the notion of parallel transport must be linear.
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This example is from Wikipedia and may be reused under a CC BY-SA license.At the other end of thefiberbundle, the fibers are fused together to form a uniform, gap-less, round profile on the crystal.
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This example is from Wikipedia and may be reused under a CC BY-SA license.It makes it possible to write differential equations on sections of afiberbundlein an invariant form.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A fibration is like afiberbundle, except that the fibers need not be the same space, rather they are just homotopy equivalent.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The importance of this is that the transition functions determine thefiberbundle(if one assumes the ech cocycle condition).
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This example is from Wikipedia and may be reused under a CC BY-SA license.These are indeed standard conditions infiberbundletheory (see transition map).
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This example is from Wikipedia and may be reused under a CC BY-SA license.The tangent bundle to a manifold is the prototypical example of a vector bundle (afiberbundlewhose fibers are vector spaces).
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This example is from Wikipedia and may be reused under a CC BY-SA license.The tangent bundle is an example of a more general construction called a vector bundle (which is itself a specific kind offiberbundle).
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This example is from Wikipedia and may be reused under a CC BY-SA license.The variational bicomplex is a cochain complex of the differential graded algebra of exterior forms on jet manifolds of sections of afiberbundle.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A smoothfiberbundleis afiberbundlein the category of smooth manifolds.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Each associationfiberbundleis lateral to the centrum ovale of a cerebral hemisphere and connects the frontal, occipital, parietal, and temporal lobes.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Afiberbundlemakes precise the idea of one topological space (called a fiber) being parameterized by another topological space (called a base).
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This example is from Wikipedia and may be reused under a CC BY-SA license.These are given by, so the structure group of the corresponding principalfiberbundlereduces to, the structure group of.
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This example is from Wikipedia and may be reused under a CC BY-SA license.For example, in afiberbundle, the total space is often said to be "upstairs", with the base space "downstairs".
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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