The Stacks project

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

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

Separation conditions on algebraic spaces

	As requested by David Rydh we replaced the notion of ``weakly
	locally separated'' and replaced it by ``locally separated''.
	We added remarks to the effext that in most of the literature in
	existence the term ``locally separated'' also implies
	quasi-separated, allthough we do not require this.

Algebraic spaces: properties do not change when changing base

	We added a lemma that, basically, will tell us that local
	properties of an algebraic space X over S hold if and only if
	the hold for X thought of as an algebraic space over Z

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

Some examples of algebraic spaces

	modified:   my.bib
	modified:   spaces.tex

Towards a better understanding of sepration axioms for algebraic spaces

	modified:   fpqc-descent.tex
	modified:   spaces.tex
	modified:   topology.tex

Added new tags to stacks project

	modified:   tags/tags

Enough material on algebraic spaces to discuss separation conditions

	modified:   spaces.tex