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Topic: Fiber (fiber bundle)

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	[No title] (Site not responding. Last check: 2007-10-11)
		An example of a principal bundle that occurs naturally in geometry is the bundle of all bases for the tangent space to a manifold, with G the general linear group; restricting in Riemannian geometry to orthonormal bases, one would limit G to the orthogonal group.
		A section of a fiber bundle is a continuous map, such that, for x in B. Since bundles do not in general have sections, one of the purposes of the theory is to account for their existence.
		One of the primary applications of fiber bundles is in gauge theory.
	wikiwhat.com /encyclopedia/f/fi/fiber_bundle.html (468 words)

	Encyclopedia :: encyclopedia : Optical fiber (Site not responding. Last check: 2007-10-11)
		For the fiber to guide the optical signal the refractive index of the core must be slightly higher than that of the cladding, though typically the difference is less than one per cent.
		For single-mode fiber performance is limited by chromatic dispersion, which occurs because the index of the glass varies slightly depending on the wavelength of the light, and light from real optical transmitters has nonzero spectral width.
		Bundles of fibers are used along with lenses for long, thin imaging devices called endoscopes, which are used to view objects through a small hole.
	www.hallencyclopedia.com /Optical_fiber (2785 words)

	Optical fiber - Wikipedia, the free encyclopedia
		Fiber with a core diameter narrower than a few wavelengths of the light carried, is analyzed as an electromagnetic structure, by solution of Maxwell's equations, as reduced to the electromagnetic wave equation.
		Another use of the optical fiber as a sensor is the optical gyroscope which is in use in the Boeing 767 and in some car models (for navigation purposes).
		The fiber ends are aligned and held together by a precision-made sleeve, often using a clear gel (index matching gel) that enhances the transmission of light across the joint.
	en.wikipedia.org /wiki/Fiber_optics (4776 words)

	PlanetMath: fiber bundle
		Some examples of fiber bundles are vector bundles and covering spaces.
		Thus we have a category of fiber bundles over a fixed base with fixed structure group.
		This is version 7 of fiber bundle, born on 2002-10-31, modified 2003-06-24.
	planetmath.org /encyclopedia/FiberBundle.html (169 words)

	Fiber bundle at opensource encyclopedia (Site not responding. Last check: 2007-10-11)
		Introducing a further topological space F, we use the projection map from $B \times F$ to B as the model.
		B is called the base space of the fiber bundle and E the total space, and for any $x\in B$ , the preimage of x, $\pi^{-1}(x)$ is called the fiber at x and the map π is called the projection map.
		A section of a fiber bundle is a continuous map, $f:B\rightarrow E$ such that $\pi(f(x))=x$ , for x in B. Since bundles do not in general have sections, one of the purposes of the theory is to account for their existence.
	www.wiki.tatet.com /Fiber_bundle.html (560 words)

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