The Stacks project

Some grammatical errors in Categories

There are some sentences of the form, for example, “there exists a P and a Q”.
I have changed “exists” into “exist”.
There are other small changes too.

categories.tex: a few more corrections and details

Smorgasbord of changes

	Loose ends:
		algebra: add colimit over almost directed cats
		sites-modules: exactness of g_!
		more-morphisms: exactness of g_!
		spaces-morphisms: closed immersions and sheaves
		spaces-more-morphisms: conormal sheaves
	should be fixed up soon

Started tags infrastructure

	new file:   scripts/add_tags.py
	modified:   scripts/functions.py
	new file:   tags/initial_tags
	new file:   tags/tags

Towards a cohomological property of ample invertible sheaves
	Improved notation in definition directed diagrams
	Lemmas on comparing sheaves which agree on princpal opens
	Started proving powers sections kill cohomology classes
	Set of isomorphism classes of finite type modules
	Inclusion principal open is affine morphism
	Quasi-coherent modules are directed colimits of sheaves of
		finite presentation

	modified:   categories.tex
	modified:   coherent.tex
	modified:   modules.tex
	modified:   morphisms.tex
	modified:   properties.tex

More neurotic changes

There are a lot of mistakes in this commit

	modified:   algebra.tex
	modified:   categories.tex
	modified:   schemes.tex
	modified:   sheaves.tex
	modified:   sites.tex

More about limits of sets, and a small
bugfix in the proof of sheafification.

	modified:   categories.tex
	modified:   sites.tex