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History of tag 040U

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changed the statement and the proof 2011-08-10 65ce54f
LaTeX: \Spec

	Introduced the macro

	\def\Spec{\mathop{\rm Spec}}

	and changed all the occurences of \text{Spec} into \Spec.
moved the statement to file decent-spaces.tex 2011-06-10 52c6ad3
Decent Algebraic Spaces

	Created a new chapter "Decent Algebraic Spaces" and moved most
	of the material on local conditions of algebraic spaces in
	there. In the next few commits we will fix the breakage that this
	causes.

	The reason for the move is that this material is difficult to
	understand for the beginner and that most of the other material
	in Properties of Spaces and Morphisms of Spaces is easier and
	more analogous to what happens for schemes.

	An added advantage is that we can use results on morphisms of
	algebraic spaces in the new chapter, hence it becomes easier to
	develop the theory of decent spaces.
changed the proof 2011-06-10 52c6ad3
Decent Algebraic Spaces

	Created a new chapter "Decent Algebraic Spaces" and moved most
	of the material on local conditions of algebraic spaces in
	there. In the next few commits we will fix the breakage that this
	causes.

	The reason for the move is that this material is difficult to
	understand for the beginner and that most of the other material
	in Properties of Spaces and Morphisms of Spaces is easier and
	more analogous to what happens for schemes.

	An added advantage is that we can use results on morphisms of
	algebraic spaces in the new chapter, hence it becomes easier to
	develop the theory of decent spaces.
changed the statement and the proof 2010-10-09 2b090dd
End conversion of etale to \'etale.
assigned tag 040U 2010-01-17 aeaa969
Tags: added new tags
created statement with label lemma-weak-UR-finite-above-x in spaces-properties.tex 2010-01-08 2e77361
Properties of Spaces: Fix next lemma.

	Lemma 03JV was wrong since it used the previously erroneous
	Lemma 03JS. We split of the weaker condition Lemma
	\ref{lemma-weak-UR-finite-above-x} (does not have a tag yet)
	and corrected Lemma 03JS by removing two of the four conditions.

	Presumably we can add another condition to the list of
	equivalent conditions of Lemma 03JS, namely as suggested by
	David Rydh:

	"there exists a family of etale morphisms U_i --> X which is
	jointly surjective and such that for each i the fibres of
		U_i --> X  and  U_i \times_X U_i --> X
	over x are finite (as in Lemma 03JT and the fixed Lemma 03JS)"

	This should go on the todo list.