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changed the statement 2012-05-16 7e05565
Improve chapter on decent spaces

	A collection of things: get rid of the very reasonable material.
	This is possible because we can now prove everything for
	reasoble spaces which was previously only proved for very
	reasonable spaces.
changed the statement 2011-06-15 0825897
Big set of changes

	Most of this is geared towards proving (in the "correct" way)
	that an algebraic stack is a gerbe if and only if the inertia is
	flat and locally of finite presentation over it.

	Other additions are:
		stackification and inertia
		[U/G] ---> U/G in the case of free actions
		residual gerbes are gerbes (not nec over a point!)
		presentations of inertia stacks
		definition free action
		U ---> U/R is flat + lfp in final bootstrap theorem
changed the label to example-quasi-compact-not-very-reasonable 2010-01-31 1642b95
Terminology changes:
	"reasonable" ---> "very reasonable"
	"almost reasonable" ---> "reasonable"

	David Rydh suggested this change since the notion of being (what
	is now called) very reasonable is not a particularly good
	notion. On the other hand the notion of being (what is now
	called) reasonable behaves quite well in various situations, and
	it seems hard to envision results that use the assumption of
	being very reasonable that do not hold for reasonable spaces.

	Still, currently there are still some results of this form, so
	we need to keep the notion "very reasonable" around (of course
	we will always keep it around for the sake of referencing, but
	in the future we may delegate it to a forgotten corner).

	TODO (soon): Introduce decent spaces. These will be
	characterized by having property (gamma).
changed the statement 2010-01-31 1642b95
Terminology changes:
	"reasonable" ---> "very reasonable"
	"almost reasonable" ---> "reasonable"

	David Rydh suggested this change since the notion of being (what
	is now called) very reasonable is not a particularly good
	notion. On the other hand the notion of being (what is now
	called) reasonable behaves quite well in various situations, and
	it seems hard to envision results that use the assumption of
	being very reasonable that do not hold for reasonable spaces.

	Still, currently there are still some results of this form, so
	we need to keep the notion "very reasonable" around (of course
	we will always keep it around for the sake of referencing, but
	in the future we may delegate it to a forgotten corner).

	TODO (soon): Introduce decent spaces. These will be
	characterized by having property (gamma).
assigned tag 03IO 2009-10-25 2ad4800
Tags: New tags added and two fixed
created statement with label example-quasi-compact-unreasonable in spaces-properties.tex 2009-10-22 2bd9d8e
Properties of Spaces: Reasonable spaces have sober underlying |X|

	We have not yet completely proved this but it looks like it is
	going to work out. This commit has two FIXMES