direct image


If f:XY is a continuous mapMathworldPlanetmath of topological spacesMathworldPlanetmath and is a sheaf on X, the direct image sheaf, f* on Y is defined by

(f*)(V)=(f-1(V))

for open sets VY, with the restrictionPlanetmathPlanetmath maps induced from those of .

Title direct image
Canonical name DirectImage1
Date of creation 2013-03-22 12:03:10
Last modified on 2013-03-22 12:03:10
Owner nerdy2 (62)
Last modified by nerdy2 (62)
Numerical id 8
Author nerdy2 (62)
Entry type Definition
Classification msc 54B40