# Banach manifold (Q3554819)

manifold modeled on Banach spaces;topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space. Banach manifolds are one possibility of extending manifolds to infinite dimensions.
Language Label Description Also known as
English
Banach manifold
manifold modeled on Banach spaces;topological space in which each point has a neighbourhood homeomorphic to an open set in a Banach space. Banach manifolds are one possibility of extending manifolds to infinite dimensions.

## Statements

0 references
${\displaystyle \varphi _{j}\circ \varphi _{i}^{-1}\varphi _{i}(U_{i}\cap U_{j})\to \varphi _{j}(U_{i}\cap U_{j})}$
1 reference

• dewiki
• enwiki
• eswiki
• frwiki