imported>Vmavanti: Cleanup per WP:MOSDAB using Dabfix

2018-03-31T02:36:41Z

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{{wiktionary|push forward}}
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
* [[Pushforward (homology)]], the map induced in homology by a continuous map between topological spaces
* [[Pushforward measure]], measure induced on the target measure space by a measurable function
* [[Pushout (category theory)]], the categorical dual of pullback
* [[Direct image sheaf]], the pushforward of a sheaf by a map
* [[Fiberwise integral]], the direct image of a differential form or cohomology by a smooth map, defined by "integration on the fibres"
* [[Transfer operator]], the pushforward on the space of measurable functions; its adjoint, the pull-back, is the composition or Koopman operator

{{mathematical disambiguation}}

[[zh:推出]]

Pushforward - Revision history

imported>Vmavanti: Cleanup per WP:MOSDAB using Dabfix