... > topology > algebraic topology > manifold > differentiable manifold > Lie group > indefinite orthogonal group

... > geometry > topological space > manifold > differentiable manifold > Lie group > indefinite orthogonal group

geometry > differential geometry > differentiable manifold > Lie group > indefinite orthogonal group

topology > differential topology > differentiable manifold > Lie group > indefinite orthogonal group

algebra > group theory > topological group > Lie group > indefinite orthogonal group