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One gets homological/topological information (DeRham cohomology ) from a manifold by forming the algebraic quotients

H^Dr (n):= (Closed n-Forms)/(Exact n- Forms)

Why do we care only about closed forms ? I imagine we can use DeRham's theorem that gives us a specific isomorphism with Singular Homology to see why, but I cannot see an answer off-hand?

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# Why only Closed Forms Matter in DeRham Cohomology?

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