单词 | Connected Set |
释义 | Connected SetA connected set is a Set which cannot be partitioned into two nonempty Subsets which areopen in the relative topology induced on the Set. Equivalently, it is a Set which cannot be partitionedinto two nonempty Subsets such that each Subset has no points in common with the closure ofthe other. The Real Numbers are a connected set. See also Closed Set, Empty Set, Open Set, Set, Subset |
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