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Can you recover the manifold topologydiffeology from the topological vector spacediffeology of distributions?

Can you recoverIs it true that the manifold diffeology is the subspace diffeology heredited from the topological vector spacediffeology of distributions? I wanna know the same thing for the tangent bundle.

Can you recover the manifold topology from the topological vector space of distributions?

Can you recover the manifold from the topological vector space of distributions?

Can you recover the manifold diffeology from the diffeology of distributions?

Is it true that the manifold diffeology is the subspace diffeology heredited from the diffeology of distributions? I wanna know the same thing for the tangent bundle.

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Can you recover the manifold topology from the topological vector space of distributions?

Can you recover the manifold from the topological vector space of distributions?