isBaireSpace
P162058
predicate
Indicates that a topological space has the property that the countable intersection of open dense sets is dense (i.e., it satisfies the Baire category theorem).
All labels observed (1)
| Label | Occurrences |
|---|---|
| isBaireSpace 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: isBaireSpace
Generated description
Indicates that a topological space has the property that the countable intersection of open dense sets is dense (i.e., it satisfies the Baire category theorem).
Sample triples (1)
| Subject | Object |
|---|---|
| Baire space ω^ω | true ⓘ |