The Stacks project

LaTeX: \Ob

	Introduced a macro

	\def\Ob{\mathop{\rm Ob}\nolimits}

	and replaced any occurence of \text{Ob}( with \Ob(. There are
	still some occurences of \text{Ob} but these are sets, not the
	operator that takes the set of objects of a category.

LaTeX: \Sch

	Introduced a new macro

	\def\Sch{\textit{Sch}}

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

Splitting out different notions of representability

	Hopefully this will improve the exposition (everntually).

Algebraic stacks: More worrying over diagrams

	Some more comments on how to go between sheaves and associated
	stacks, etc.

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...

Added new tags to the project

	modified:   tags/tags

Introducing different types of representable 1-morphisms of categories
fibred in groupoids

	modified:   algebraic.tex
	modified:   categories.tex
	modified:   spaces.tex