... > topology > algebraic topology > manifold > differentiable manifold > Lie group > spin group

... > geometry > topological space > manifold > differentiable manifold > Lie group > spin group

geometry > differential geometry > differentiable manifold > Lie group > spin group

topology > differential topology > differentiable manifold > Lie group > spin group

algebra > group theory > topological group > Lie group > spin group

mathematical physics > quantum field theory > spinor > spin group

algebra > linear algebra > spinor > spin group