Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.
Canonical static concept record
Open this concept in the interactive graphRead the Markdown equivalent
The cochain complex of differential forms with exterior derivative , satisfying .
The de Rham theorem identifies this cohomology with singular cohomology over under standard hypotheses.
wp-de_rham_complexnlab-de_rham_complexEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The exterior derivative organizes differential forms into a cochain complex.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-de_rham_complexnlab-de_rham_complexThis is an authored directed relation from the source endpoint to the target endpoint.
Repeated exterior derivatives vanish, so the spaces of differential forms and the operator form the de Rham cochain complex.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
lee-smooth-manifoldsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The homogeneous Maxwell equation is and the sourced equation uses the Hodge dual and current form.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-physics-maxwell_equationsnlab-physics-maxwell_equationswp-de_rham_complexnlab-de_rham_complex