... > topology > algebraic topology > manifold > differentiable manifold > Lie group > closed-subgroup theorem

... > geometry > topological space > manifold > differentiable manifold > Lie group > closed-subgroup theorem

geometry > differential geometry > differentiable manifold > Lie group > closed-subgroup theorem

topology > differential topology > differentiable manifold > Lie group > closed-subgroup theorem

algebra > group theory > topological group > Lie group > closed-subgroup theorem