principal bundle
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Principal bundle — In mathematics, a principal bundle is a mathematical object which formalizes some of the essential features of a Cartesian product X times; G of a space X with a group G . Analogous to the Cartesian product, a principal bundle P is equipped with… … Wikipedia
Connection (principal bundle) — This article is about connections on principal bundles. See connection (mathematics) for other types of connections in mathematics. In mathematics, a connection is a device that defines a notion of parallel transport on the bundle; that is, a way … Wikipedia
Principal homogeneous space — In mathematics, a principal homogeneous space, or torsor, for a group G is a set X on which G acts freely and transitively. That is, X is a homogeneous space for G such that the stabilizer of any point is trivial. An analogous definition holds in … Wikipedia
Bundle gerbe — In mathematics, a bundle gerbe is a geometrical model of certain 1 gerbes with connection, or equivalently of a 2 class in Deligne cohomology. Topology U (1) principal bundles over a space M (see circle bundle) are geometrical realizations of 1… … Wikipedia
Bundle — Une offre groupée[1],[2], ou paquetage promotionnel, ou bundle, est un ensemble de produits vendus ensemble. Par exemple, un lot de 2 paquets de galettes Saint Michel. Il est composé, en plus du produit principal, d accessoires, de logiciels… … Wikipédia en Français
bundle bone — one of the two types of bones composing the alveolar bone, so called because of the continuation into it of the principal fibers of the periodontal ligament. Large amounts of more calcified cementing substance render bundle bone more resistant to … Medical dictionary
Associated bundle — In mathematics, the theory of fiber bundles with a structure group G (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from F 1 to F 2, which are both topological spaces… … Wikipedia
Fiber bundle — In mathematics, in particular in topology, a fiber bundle (or fibre bundle) is a space which looks locally like a product space. It may have a different global topological structure in that the space as a whole may not be homeomorphic to a… … Wikipedia
Frame bundle — In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change… … Wikipedia
Pullback bundle — In mathematics, a pullback bundle or induced bundle is a useful construction in the theory of fiber bundles. Given a fiber bundle pi; : E rarr; B and a continuous map f : B prime; rarr; B one can define a pullback of E by f as a bundle f * E over … Wikipedia
Section (fiber bundle) — In the mathematical field of topology, a section (or cross section) of a fiber bundle, pi; : E rarr; B , over a topological space, B , is a continuous map, f : B rarr; E , such that pi; ( f ( x ))= x for all x in B .A section is a certain… … Wikipedia
