isSecondCountable
P22989
predicate
Indicates that a topological space has a countable base for its topology, meaning all open sets can be generated from a countable collection of basic open sets.
All labels observed (2)
| Label | Occurrences |
|---|---|
| isCountable | 5 |
| isSecondCountable canonical | 3 |
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: isSecondCountable
Generated description
Indicates that a topological space has a countable base for its topology, meaning all open sets can be generated from a countable collection of basic open sets.
Sample triples (8)
| Subject | Object |
|---|---|
| Euclidean space | true ⓘ |
| Wilsons | true via predicate surface "isCountable" ⓘ |
| E(n) | true ⓘ |
|
PSL(2,ℤ)
linked to:
modular group PSL(2,Z)
|
true via predicate surface "isCountable" ⓘ |
| Feferman–Schütte ordinal | true via predicate surface "isCountable" ⓘ |
| SL(2,ℤ) | true via predicate surface "isCountable" ⓘ |
| Baire space ω^ω | true ⓘ |
| Gelfand–Tsetlin graph | vertex set is countable via predicate surface "isCountable" ⓘ |