metricSpaceProperty
P73737
predicate
Indicates that a specified property or condition holds for a metric space, characterizing how its distance structure behaves.
All labels observed (3)
| Label | Occurrences |
|---|---|
| metricProperty | 8 |
| isQuasiMetricOn | 1 |
| metricSpaceProperty canonical | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: metricSpaceProperty
Generated description
Indicates that a specified property or condition holds for a metric space, characterizing how its distance structure behaves.
Sample triples (10)
| Subject | Object |
|---|---|
| Cantor set | complete ⓘ |
| Kolmogorov distance | non-negativity via predicate surface "metricProperty" ⓘ |
| Kolmogorov distance | identity of indiscernibles via predicate surface "metricProperty" ⓘ |
| Kolmogorov distance | symmetry via predicate surface "metricProperty" ⓘ |
| Kolmogorov distance | triangle inequality via predicate surface "metricProperty" ⓘ |
| Banach–Mazur distance | finite-dimensional normed spaces themselves via predicate surface "isQuasiMetricOn" ⓘ |
| Hamming distance | non-negativity via predicate surface "metricProperty" ⓘ |
| Hamming distance | identity of indiscernibles via predicate surface "metricProperty" ⓘ |
| Hamming distance | symmetry via predicate surface "metricProperty" ⓘ |
| Hamming distance | triangle inequality via predicate surface "metricProperty" ⓘ |