### Some articles on *inverse image, image, images*:

Exceptional

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**Inverse Image**Functor - Definition...

**Image**functors for sheaves direct**image**f∗**inverse image**f∗ direct**image**with compact support f! exceptional**inverse image**Rf! Let f X → Y be a continuous map of ... Then the exceptional**inverse image**is a functor Rf! D(Y) → D(X) where D(–) denotes the derived category of sheaves of abelian groups or modules over a fixed ring ... be the right adjoint of the total derived functor Rf! of the direct**image**with compact support ...Image Functors For Sheaves

... as topology, logic and algebraic geometry, there are four

... as topology, logic and algebraic geometry, there are four

**image**functors for sheaves which belong together in various senses ... The functors in question are direct**image**f∗ Sh(X) → Sh(Y)**inverse image**f∗ Sh(Y) → Sh(X) direct**image**with compact support f! Sh(X) → Sh(Y) exceptional**inverse image**Rf! D(Sh(Y)) → D(Sh(X)) ... The exceptional**inverse image**is in general defined on the level of derived categories only ...Coherent Duality - Adjoint Functor Point of View

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**Image**functors for sheaves direct**image**f∗**inverse image**f∗ direct**image**with compact support f! exceptional**inverse image**Rf! While Serre duality uses a line bundle or invertible sheaf as a dualizing sheaf ... as the existence of a right adjoint functor f !, called twisted or exceptional**inverse image**functor, to a higher direct**image**with compact support functor Rf! ... Higher direct**images**are a sheafified form of sheaf cohomology in this case with proper (compact) support they are bundled up into a single functor by means of the derived category formulation of homological ...### Famous quotes containing the words image and/or inverse:

“True revolutionaries are like God—they create the world in their own *image*. Our awesome responsibility to ourselves, to our children, and to the future is to create ourselves in the *image* of goodness, because the future depends on the nobility of our imaginings.”

—Barbara Grizzuti Harrison (b. 1941)

“The quality of moral behaviour varies in *inverse* ratio to the number of human beings involved.”

—Aldous Huxley (1894–1963)

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