The Stacks project

Fix typos

Thanks to Minseon Shin (email)

LaTeX: \etale

Introduced the macro

\def\etale{{\acute{e}tale}}

and replaced all occurences of \acute{e}tale by \etale

Whitespace changes

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

	and replaced all the occurences of \textit{Sch} with \Sch.

End conversion of etale to \'etale.

Qoutients of Groupoids: A little more discussion

Groupoids: Fix dumb error.

	The error was not realizing that ``relation generated by'' is
	a kind of tricky operation...

	This basically has no further ramifications since we only used
	the result in situations where the the pre-relation is actually
	a pre-equivalence relation (which would be better named a
	equivalence pre-relation).

Restriction and equivalences

	We inserted a couple of lemmas describing when the restriction
	of a groupoid scheme gives rise to an isomorphic quotient sheaf
	or when it gives rise to an equivalent quotient stack.

Collection of small changes

	Small addition in algebra.tex
	Invariant opens, representable quotients in groupoids
	Finite monomorphism of schemes is closed immersion
	Separation axioms added to spaces-properties
	Morphism between algebraic spaces is representable by algebraic
		spaces

	modified:   algebra.tex
	modified:   groupoids.tex
	modified:   morphisms.tex
	modified:   spaces-properties.tex
	modified:   spaces.tex

Added new tags to stacks project

	modified:   tags/tags

Beginning work on algebraic spaces

	modified:   algebra.tex
	modified:   fpqc-descent.tex
	modified:   groupoids.tex
	modified:   morphisms.tex
	modified:   sites.tex
	modified:   spaces.tex