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The Stacks project

History of tag 03MS

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type time link
changed the proof 2011-06-17 1692461
Neurotic changes
changed the statement and the proof 2010-10-09 2b090dd
End conversion of etale to \'etale.
moved the statement to file spaces-topologies.tex 2010-01-01 4a6cbc2
Algebraic Stacks: Making the definition work.

	This is a rather large set of changes. It turns out that we need
	to repeat some of the work done in the setting of schemes in the
	setting of algebraic spaces. We can do this as we go along, but
	we need to have the framework in place with some example
	sections. Hence added to the project are a chapter on topologies
	on algebraic spaces and a chapter on descent and algebraic
	spaces. We further need to add much more material to the section
	on morphisms of algebraic spaces, since right now we do not even
	cover the notion of a smooth morphism of algebraic spaces.

	Of course most of this is a simple matter of pointing out the
	relevant results on schemes. Still...
assigned tag 03MS 2009-12-17 8de7ea3
Tags: Added new tags

	Also commented obsolete tags corresponding to sections of
	desirables.tex that have been removed.
created statement with label lemma-recognize-fpqc-covering in spaces-morphisms.tex 2009-12-17 2799b45
Morphisms of Spaces: Closed immersions and flat morphisms

	We discuss the equivalence between closed subspaces and
	quasi-coherent ideal sheaves, types of morphisms of schemes
	which are etale local on the source and target, flat morphisms
	of algebraic spaces, and fpqc coverings of algebraic spaces.