फाइबर्ड इसके अंग्रेजी अर्थ का उदाहरण

In arithmetic dynamics, posed conjectures on the Zariski density of non-fibered endomorphisms of quasi-projective varieties and proposed a dynamical analogue of the Manin–Mumford conjecture.

A fibered manifold admits local sections: For each there is an open neighborhood of in and a smooth mapping with and .

The theory of fibered spaces, of which vector bundles, principal bundles, topological fibrations and fibered manifolds are a special case, is attributed to Seifert, Hopf, Feldbau, Whitney, Steenrod, Ehresmann, Serre, and others.

In this setting, the tensor product become a fibered coproduct in the category of R-algebras.

In general, a fibered manifold needs not to be a fiber bundle: different fibers may have different topologies.

Conversely, if a surjection admits a fibered atlas, then is a fibered manifold.

A fibered manifold admits fiber charts.

Every differentiable covering space is a fibered manifold with discrete fiber.

Such a V has exactly 100 nodes; there exists a small resolution V′ which is a Calabi–Yau threefold fibered by Horrocks–Mumford surfaces.

A fibered manifold together with a manifold is a fiber bundle with typical fiber (or just fiber) if it admits a local trivialization with respect to .

In view of the above property, the fibered coordinates of a fiber chart are usually denoted by where , , the coordinates of the corresponding chart on are then denoted, with the obvious convention, by where .

Let be a fibered manifold and any manifold.

A surjection is a fibered manifold if and only if there exists a local section of (with ) passing through each .