Smoothly homotopic maps induce the same map on de Rham cohomology. Integrating Cartan's magic formula along a homotopy gives a cochain homotopy
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  1. de Rham cohomology
  2. Exact differential form
  3. Closed differential form
  4. Closed and exact differential forms
  5. Exterior derivative
  6. Differential form
  7. Geometry and topology
  8. Area of mathematics
  9. Mathematics
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