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Encyclopedia of Compactness Wiki*
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3-paracompact をテンプレートにして作成
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*Definition [#fc7f63f2]
A subset Y of a space X is said to be 3-paracompact in X iff for every open cover U of X, there exists a collection V which satisfies:
++V consists of open subsets of Y;
++V covers Y;
++V is a [[partial refinement]] of U;
++V is [[locally finite]] at Y.
*Remark [#b2e4fd67]
-This is not a property for topological spaces, but subspaces.
-See [[1-paracompact]], [[2-paracompact]].
*Reference [#i4ed9e7e]
K.P.Hart, J. Nagata and J.E. Vaughan, ''Encyclopedia of general topology'', Elsevier Science
終了行:
*Definition [#fc7f63f2]
A subset Y of a space X is said to be 3-paracompact in X iff for every open cover U of X, there exists a collection V which satisfies:
++V consists of open subsets of Y;
++V covers Y;
++V is a [[partial refinement]] of U;
++V is [[locally finite]] at Y.
*Remark [#b2e4fd67]
-This is not a property for topological spaces, but subspaces.
-See [[1-paracompact]], [[2-paracompact]].
*Reference [#i4ed9e7e]
K.P.Hart, J. Nagata and J.E. Vaughan, ''Encyclopedia of general topology'', Elsevier Science
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