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Rosenthal compact
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Rosenthal compact をテンプレートにして作成
これらのキーワードがハイライトされています:
開始行:
*Definition [#h48302e6]
-Let K be a compact Hausdorff space. K is a Rosenthal compact iff K is homeomorphic to a pointwise compact set of functions of first Baire class on a Polish space.
*Property [#aa3391be]
-The product of two Rosenthal compacts is a Rosenthal compact.
-Every compact metric space is Rosenthal compact.
*Reference [#n05bb16f]
-Edgar, G. A. and Wheeler, R. F. , ''Topological properties of Banach spaces'', Pacific J. Math. 115 (1984), no. 2, 317--350.
終了行:
*Definition [#h48302e6]
-Let K be a compact Hausdorff space. K is a Rosenthal compact iff K is homeomorphic to a pointwise compact set of functions of first Baire class on a Polish space.
*Property [#aa3391be]
-The product of two Rosenthal compacts is a Rosenthal compact.
-Every compact metric space is Rosenthal compact.
*Reference [#n05bb16f]
-Edgar, G. A. and Wheeler, R. F. , ''Topological properties of Banach spaces'', Pacific J. Math. 115 (1984), no. 2, 317--350.
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