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.
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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.

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Wikipedia(4 entries)
 dewiki BanachMannigfaltigkeit
 enwiki Banach manifold
 eswiki Variedad de Banach
 frwiki Variété lisse