Pushforward (original) (raw)
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 ad
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| dbo:abstract | 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 operatorThis 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. (en) |
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| dbo:wikiPageWikiLink | dbr:Pushforward_(differential) dbr:Pullback dbr:Pushforward_(homology) dbr:Pushforward_measure dbr:Transfer_operator dbr:Pushout_(category_theory) dbr:Fiberwise_integral dbr:Direct_image_sheaf |
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| rdfs:comment | 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 ad (en) |
| rdfs:label | 밂 (ko) 押し出し (ja) Pushforward (en) |
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| prov:wasDerivedFrom | wikipedia-en:Pushforward?oldid=833360436&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Pushforward |
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| is dbo:wikiPageWikiLink of | dbr:Push-forward dbr:Pushforward_(disambiguation) dbr:Push_forward |
| is foaf:primaryTopic of | wikipedia-en:Pushforward |