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单词 Hausdorff Axioms
释义

Hausdorff Axioms

Describe subsets of elements in a Neighborhood Set of . The Neighborhood is assumed tosatisfy:

1. There corresponds to each point at least one Neighborhood , and each Neighborhood contains the point .

2. If and are two Neighborhoods of the same point , there must exist aNeighborhood that is a subset of both.

3. If the point lies in , there must exist a Neighborhood that is a Subset of.

4. For two different points and , there are two corresponding Neighborhoods and with no points in common.

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更新时间:2024/11/13 14:56:44