hasHomotopyGroup
P159427
predicate
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
All labels observed (1)
| Label | Occurrences |
|---|---|
| hasHomotopyGroup canonical | 2 |
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: hasHomotopyGroup
Generated description
Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
Sample triples (2)
| Subject | Object |
|---|---|
|
Eilenberg–MacLane spaces
surface form:
Eilenberg–MacLane space
|
π_n(K(G,n)) ≅ G ⓘ |
|
Eilenberg–MacLane spaces
surface form:
Eilenberg–MacLane space
|
π_k(K(G,n)) = 0 for k ≠ n ⓘ |