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Direct image with compact support: Difference between revisions

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Let ''f'': ''X'' → ''Y'' be a [[continuous mapping]] of [[topological space]]s, and let Sh(–) denote the [[category (mathematics)|category]] of sheaves of [[abelian group]]s on a topological space. The '''direct image with compact (or proper) support'''
 
:''f''<sub>!</sub>: Sh(''X'') &rarr;→ Sh(''Y'')
 
sends a sheaf ''F'' on ''X'' to ''f''<sub>!</sub>(''F'') defined by
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