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maximal をテンプレートにして作成
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開始行:
*定義 [#o1136594]
Here we define the maximality of covers of topological spaces.
Let X be a topological space, R be a subset family in X which is closed under finite unions. Let M be the collection of all covers by the elements in R which have no finite subcovers. A maximal R-cover means the maximal element in M wrt. th
For example, if R is the family of [[cozero set]]s (open sets), we have a maximal cozero (open) cover.
終了行:
*定義 [#o1136594]
Here we define the maximality of covers of topological spaces.
Let X be a topological space, R be a subset family in X which is closed under finite unions. Let M be the collection of all covers by the elements in R which have no finite subcovers. A maximal R-cover means the maximal element in M wrt. th
For example, if R is the family of [[cozero set]]s (open sets), we have a maximal cozero (open) cover.
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