homotopyGroup

29 triples
GPTKB property

Random triples
Subject Object
gptkb:2-sphere_(S^2) π_2 = Z
gptkb:15-sphere π_15(S^15) = Z
gptkb:Hopf_fibration π_3(S^2) = Z
gptkb:SU(N) π_3(SU(N)) = Z
gptkb:SO(n) π1(SO(2)) = Z
gptkb:2-sphere_(S^2) π_1 = 0
gptkb:SU(3) π2(SU(3)) = 0
gptkb:3-sphere_(S^3) π_3(S^3) = Z
gptkb:standard_7-sphere π_7(S^7) = Z
gptkb:SU(N) π_1(SU(N)) = 0
gptkb:Special_Unitary_Group_of_degree_n π_1(SU(n)) = Z_n
gptkb:Special_Orthogonal_Group_in_N_dimensions π1(SO(N)) = Z2 for N ≥ 3
gptkb:rotation_group_SO(3) π1(SO(3)) = Z2
gptkb:SU(n) π_1(SU(n)) = 0
gptkb:quaternionic_Hopf_fibration gptkb:π_7(S^4)
gptkb:SU(N) π_2(SU(N)) = 0
gptkb:U(N) π_1(U(N)) = Z
gptkb:sphere_S^{N-1} pi_k(S^{N-1})
gptkb:unit_circle_in_complex_plane π₁(S^1) = ℤ
gptkb:Eilenberg–MacLane_space π_k = 0 for k ≠ n