bundle topology

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• Bundle — may refer to:In mathematics: * Fiber bundle, in particular in topology, a space that looks locally like a product space *Bundle (mathematics), a generalization of a fiber bundle dropping the condition of a local product structureIn medicine: *… …   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 (mathematics) — In mathematics, a bundle is a generalization of a fiber bundle dropping the condition of a local product structure. The requirement of a local product structure rests on the bundle having a topology. Without this requirement, more general objects …   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

• Line bundle — In mathematics, a line bundle expresses the concept of a line that varies from point to point of a space. For example a curve in the plane having a tangent line at each point determines a varying line: the tangent bundle is a way of organising… …   Wikipedia

• Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

• List of algebraic topology topics — This is a list of algebraic topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of geometric topology topics Publications in topology Topological property Contents 1… …   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

• Tangent bundle — In mathematics, the tangent bundle of a smooth (or differentiable) manifold M , denoted by T ( M ) or just TM , is the disjoint unionThe disjoint union assures that for any two points x 1 and x 2 of manifold M the tangent spaces T 1 and T 2 have… …   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

• 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