Sentences with FIBRE-BUNDLE
Check out our example sentences below to help you understand the context.Sentences
1
"A fibre bundle consists of a total space, a base space, and a projection map."
2
"In mathematics, fibre bundles generalize the idea of a product space."
3
"A trivial fibre bundle is one where the fibres are all homeomorphic to each other."
4
"The tangent bundle is an example of a fibre bundle in differential geometry."
5
"A principal fibre bundle consists of a Lie group acting on a space with fibres also being the Lie group."
6
"The Möbius strip is a famous example of a non-trivial fibre bundle."
7
"In topology, a fibre bundle is often represented diagrammatically using commutative diagrams."
8
"The pullback of a fibre bundle along a map is another fibre bundle."
9
"The total space of a fibre bundle is usually equipped with additional structure."
10
"A vector bundle is a fibre bundle where the fibres are vector spaces."
11
"The Hopf fibration is an important example of a fibre bundle in topology."
12
"The base space of a fibre bundle is often referred to as the total space modulo the fibres."
13
"A principal bundle is a fibre bundle with a Lie group as the base space."
14
"The notion of a fibre bundle is closely related to the concept of a sheaf."
15
"The theory of fibre bundles is a branch of mathematics with many applications."
1
"The fibre bundle is a mathematical concept used in differential geometry."
2
"In physics, fibre bundles describe physical phenomena such as electromagnetic fields."
3
"A fibre bundle consists of a base space and a set of fibres over each point of the base."
4
"The tangent bundle is a specific type of fibre bundle commonly used in calculus."
5
"The notion of a principal fibre bundle arises in the field of gauge theory."
6
"Topological invariants can be defined using characteristic classes of fibre bundles."
7
"The concept of fibre bundles allows for a unified understanding of diverse structures."
