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gptkb:unit_circle_in_complex_plane
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π₁(S^1) = ℤ
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gptkb:SO(n)
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π1(SO(2)) = Z
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gptkb:2-sphere_(S^2)
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π_1 = 0
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gptkb:sphere_S^{N-1}
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pi_k(S^{N-1})
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gptkb:Special_Orthogonal_Group_in_N_dimensions
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π1(SO(2)) = Z
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gptkb:U(N)
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π_1(U(N)) = Z
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gptkb:Hopf_fibration
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π_3(S^2) = Z
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gptkb:SU(N)
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π_2(SU(N)) = 0
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gptkb:SU(n)
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π_1(SU(n)) = 0
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gptkb:standard_7-sphere
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π_7(S^7) = Z
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gptkb:unitary_group_U(n)
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π_1(U(n)) = Z
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gptkb:SO(n)
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π1(SO(n)) = Z/2Z for n > 2
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gptkb:Eilenberg–MacLane_space
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π_k = 0 for k ≠ n
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gptkb:SU(3)
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π1(SU(3)) = 0
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gptkb:SU(N)
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π_1(SU(N)) = 0
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gptkb:15-sphere
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π_15(S^15) = Z
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gptkb:quaternionic_Hopf_fibration
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gptkb:π_7(S^4)
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gptkb:3-sphere_(S^3)
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π_3(S^3) = Z
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gptkb:Eilenberg–MacLane_space
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π_n = G
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gptkb:Special_Orthogonal_Group_in_N_dimensions
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π1(SO(N)) = Z2 for N ≥ 3
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