12 Michael’s Selection Theorem Let X be a fully normal space, Y a Banach space and ϕ : X → P(Y ) an lsc carrier such that every ϕ(x) is convex and closed. Then ϕ has a continuous selection.

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Date: 2007-03-15 15:49:15 Separation axioms Mathematical analysis Paracompact space Compact space Metric space Normal space Open mapping theorem Hausdorff space Stone–Čech compactification Topology General topology Topological spaces		12 Michael’s Selection Theorem Let X be a fully normal space, Y a Banach space and ϕ : X → P(Y ) an lsc carrier such that every ϕ(x) is convex and closed. Then ϕ has a continuous selection. Add to Reading List Source URL: www.helsinki.fi Download Document from Source Website File Size: 86,86 KB Share Document on Facebook

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