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totally disconnected space

[数] 完全不连通空间

... totally disconnected set 完全不连通集 totally disconnected space 完全不连通空间 totally disconnected 完全不连通的 ...

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完全不连通

... 完全不可能 against all odds 完全不连通 totally disconnected space 完全不平等 very separate very unequal ...

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短语

totally disconnected metric space [数] 完全不连通度量空间

数学

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abstract: In topology and related branches of mathematics, a totally disconnected space is a topological space that is maximally disconnected, in the sense that it has no non-trivial connected subsets. In every topological space the empty set and the one-point sets are connected; in a totally disconnected space these are the only connected subsets.

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Two kinds of useful topologies, i. e. Q -topology and S -topology on the field of hyperreal numbers are studied. The following results are proved: The space ( tR, Q) is totally disconnected;

研究了超实数域上两种有用的拓扑—Q-拓扑和S-拓扑．证明了以下结果：空间（R，Q）是完全不连通的；

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