释义 |
Hausdorff AxiomsDescribe 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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