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changed the proof 2015-03-12 da6468e
amalg and coprod
changed the proof 2011-08-14 ca002a3
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assigned tag 03HX 2009-10-25 2ad4800
Tags: New tags added and two fixed
created statement with label lemma-image-nowhere-dense-finite in morphisms.tex 2009-10-25 b36cf1c
Morphisms: Structure of finite maps

	A finite map of affine schemes becomes, after a finite locally
	free base change, the composition of a closed immersion by a
	morphism Y --> X where Y is a union of closed subschemes mapping
	isomorphically to X. We use this to show that a nowhere dense
	set is mapped to a nowhere dense set by a finite morphism.

	We also add an example that shows that a non-quasi-separated
	quasi-finite morphism does not become finite after localizing
	around a generic point of the target.