Banach bundle (non-commutative geometry)

In mathematics, a Banach bundle is a fiber bundle over a topological Hausdorff space, such that each fiber has the structure of a Banach space.

be a topological Hausdorff space, a (continuous) Banach bundle over

is a topological Hausdorff space, and

is a continuous, open surjection, such that each fiber

Which satisfies the following conditions: If the map

is only upper semi-continuous,

is called upper semi-continuous bundle.

Let A be a Banach space, X be a topological Hausdorff space.

is a Banach bundle, called the trivial bundle This topology-related article is a stub.