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The Stacks project

History of tag 04N2

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changed the statement 2010-10-09 2b090dd
End conversion of etale to \'etale.
changed the statement 2010-07-12 7cc0ddb
Local properties of algebraic stacks

	Here we define in one fell swoop what it means for an algebraic
	stack to be
		locally Noetherian,
		Jacobson,
		Cohen-Macaulay,
		reduced,
		normal,
		regular, and
		Nagata.
	Cool!

	We also improved slightly the corresponding exposition in the
	chapter on properties of spaces.
changed the statement 2010-06-07 ee9c0ce
Moved material out of spaces properties
assigned tag 04N2 2010-05-26 eb64be2
Tags: added new tags
created statement with label lemma-local-source-target-at-point in spaces-properties.tex 2010-05-26 686a308
Properties of Spaces: Dimension

	Introduced the notion of the dimension of an algebraic space at
	a point. We do not use the topological space |X| for this,
	instead we use the dimension of an etale cover by a scheme.

	We also prove a lemma on the invariance of dimension of local
	rings under etale extensions, leading also to the equality of
	the dimension of a local ring and its henselization.