separable manifold

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• Non-Hausdorff manifold — In mathematics, it is a usual axiom of a manifold to be a Hausdorff space, and this is assumed throughout geometry and topology: manifold means (second countable) Hausdorff manifold . In general topology, this axiom is relaxed, and one studies… …   Wikipedia

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• Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …   Wikipedia

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• Holomorphically separable — In mathematics in complex analysis, the concept of holomorphic separability is a measure forthe richness of the set of holomorphic functions on a complex manifold or complex space.Formal definitionA complex manifold or complex space X is said to… …   Wikipedia

• Stein manifold — In mathematics, a Stein manifold in the theory of several complex variables and complex manifolds is a complex submanifold of the vector space of n complex dimensions. The name is for Karl Stein. Definition A complex manifold X of complex… …   Wikipedia

• Hilbert manifold — In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold… …   Wikipedia

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