Inverse Image Functor

In mathematics, the inverse image functor is a contravariant construction of sheaves. The direct image functor is the primary operation on sheaves, with the simplest definition. The inverse image exhibits some relatively subtle features.

Image functors for sheaves
direct image f
inverse image f
direct image with compact support f!
exceptional inverse image Rf!

Read more about Inverse Image Functor:  Definition, Properties

Famous quotes containing the words inverse and/or image:

    Yet time and space are but inverse measures of the force of the soul. The spirit sports with time.
    Ralph Waldo Emerson (1803–1882)

    O love, my love! if I no more should see
    Thyself, nor on the earth the shadow of thee,
    Nor image of thine eyes in any spring,—
    How then should sound upon Life’s darkening slope
    The ground-whirl of the perished leaves of Hope,
    The wind of Death’s imperishable wing?
    Dante Gabriel Rossetti (1828–1882)