fibre bundle (Meaning)
Wordnet
fibre bundle (n)
a bundle of fibers (especially nerve fibers)
Synonyms & Antonyms of fibre bundle
No Synonyms and anytonyms found
fibre bundle Sentence Examples
- In mathematics, a fibre bundle is a topological space that is locally modelled on a product space of a base space and a fibre.
- A fibre bundle is a generalization of a vector bundle, where the fibre is a vector space.
- Fibre bundles are used in many areas of mathematics, including topology, differential geometry, algebra, and mathematical physics.
- The theory of fibre bundles was developed in the early 20th century by mathematicians such as Élie Cartan, Jean Leray, and Georges de Rham.
- Fibre bundles have a wide range of applications in physics, including in the study of gauge theory, general relativity, and string theory.
- Fibre bundles are also used in engineering, computer science, and other fields.
- A fibre bundle can be thought of as a family of spaces, where each space is associated with a point in the base space.
- The fibre of a fibre bundle is the set of all points in the space that are associated with a given point in the base space.
- The base space of a fibre bundle is the set of all points that appear as the base of some fibre in the bundle.
- The total space of a fibre bundle is the set of all points in the space that are associated with any point in the base space.
FAQs About the word fibre bundle
a bundle of fibers (especially nerve fibers)
No synonyms found.
No antonyms found.
In mathematics, a fibre bundle is a topological space that is locally modelled on a product space of a base space and a fibre.
A fibre bundle is a generalization of a vector bundle, where the fibre is a vector space.
Fibre bundles are used in many areas of mathematics, including topology, differential geometry, algebra, and mathematical physics.
The theory of fibre bundles was developed in the early 20th century by mathematicians such as Élie Cartan, Jean Leray, and Georges de Rham.
