An ultrametric space is a metric space satisfying the ultrametric inequality. Its open balls are clopen, and any two balls are either disjoint or one contains the other.
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An **ultrametric space** is a specific type of metric space that has a stronger condition than a general metric space. In an ultrametric space, the distance function satisfies the following properties: 1. **Non-negativity**: For any points \(x\) and \(y\), the distance \(d(x, y) \geq 0\).