hasHomotopyGroup

P159427
predicate

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