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. - Čech - Document - PDFSEARCH.IO

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	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 Document Date: 2007-03-15 15:49:15 Open Document File Size: 86,86 KB Share Result on Facebook IndustryTerm convex-valued carrier / lsc carrier / / SocialTag Separation axioms Mathematical analysis Paracompact space Compact space Metric space Normal space Open mapping theorem Hausdorff space Stone–Čech compactification Topology

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