pushforward

The notion of pushforward in mathematics is "dual" to the notion of pullback, and can mean a number of different, but closely related things.

• Pushforward (differential): the differential of a smooth map between manifolds, and the "pushforward" operations it defines.
• Direct image sheaf: the pushforward of a sheaf by a map.
• Pushforward (homology): the map induced in homology by a continuous map between topological spaces.
• Fiberwise integral: the direct image of a differential form or cohomology class by a smooth map, defined by "integration on the fibres".
• Pushout (category theory): the categorical dual of Pullback (category theory).
• Pushforward measure: the measure induced on the target measure space by a measurable function.

This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

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