About: Fréchet manifold

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In mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological space modeled on a Fréchet space in much the same way as a manifold is modeled on a Euclidean space. More precisely, a Fréchet manifold consists of a Hausdorff space with an atlas of coordinate charts over Fréchet spaces whose transitions are smooth mappings. Thus has an open cover and a collection of homeomorphisms onto their images, where are Fréchet spaces, such that is smooth for all pairs of indices

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rdfs:label	Fréchet manifold (en) Variété de Fréchet (fr) Вариация Фреше (ru)
rdfs:comment	In mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological space modeled on a Fréchet space in much the same way as a manifold is modeled on a Euclidean space. More precisely, a Fréchet manifold consists of a Hausdorff space with an atlas of coordinate charts over Fréchet spaces whose transitions are smooth mappings. Thus has an open cover and a collection of homeomorphisms onto their images, where are Fréchet spaces, such that is smooth for all pairs of indices (en) Вариация Фреше — одна из числовых характеристик функции нескольких переменных, которую можно рассматривать как многомерный аналог вариации функции одного переменного. (ru)
dct:subject	Structures on manifolds Manifolds Generalized manifolds Nonlinear functional analysis
Wikipage page ID	3873038 (xsd:integer)
Wikipage revision ID	1054298873 (xsd:integer)
Link from a Wikipage to another Wikipage	Nonlinear analysis Structures on manifolds Mathematics Separable space Fréchet space Embedding Well-behaved Hausdorff space Manifolds Euclidean space Generalized manifolds Nonlinear functional analysis Differentiation in Fréchet spaces Hilbert space Homeomorphism Metric space Open cover Topological space Manifold (mathematics)
sameAs	Fréchet manifold Fréchet manifold Fréchet manifold Fréchet manifold Fréchet manifold
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has abstract	In mathematics, in particular in nonlinear analysis, a Fréchet manifold is a topological space modeled on a Fréchet space in much the same way as a manifold is modeled on a Euclidean space. More precisely, a Fréchet manifold consists of a Hausdorff space with an atlas of coordinate charts over Fréchet spaces whose transitions are smooth mappings. Thus has an open cover and a collection of homeomorphisms onto their images, where are Fréchet spaces, such that is smooth for all pairs of indices (en) Вариация Фреше — одна из числовых характеристик функции нескольких переменных, которую можно рассматривать как многомерный аналог вариации функции одного переменного. (ru)
prov:wasDerivedFrom	wikipedia-en:Fréchet_manifold?oldid=1054298873&ns=0
page length (characters) of wiki page	3390 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fréchet_manifold
is Link from a Wikipage to another Wikipage of	List of differential geometry topics Lie groupoid List of manifolds Smooth functor Unit tangent bundle Peetre theorem Banach manifold Diffeology Diffeomorphism Differentiation in Fréchet spaces Frechet manifold Riemannian manifold Tensor Differentiable manifold Manifold
is Wikipage redirect of	Frechet manifold
is foaf:primaryTopic of	wikipedia-en:Fréchet_manifold

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