The Stacks project

Whitespace changes

Fixes in spaces-properties.tex

	We tried to find arguments for some of the previous results in
	the quasi-separated case which are easier than the original more
	general ones. We only partially succeeded. But on the other
	hand, we can in the future keep simplifying this chapter and add
	the more involved arguments to the chapter on decent spaces.

Fixes in spaces-properties.tex

	We tried to find arguments for some of the previous results in
	the quasi-separated case which are easier than the original more
	general ones. We only partially succeeded. But on the other
	hand, we can in the future keep simplifying this chapter and add
	the more involved arguments to the chapter on decent spaces.

End conversion of etale to \'etale.

Properties of Spaces: Quasi-separated spaces and fpqc topology

	A Zariski locally quasi-separated space satisfies the sheaf
	condition for the fpqc topology.

Morphisms of algebraic spaces: New file

	Also, some more lemmas on points of algebraic spaces

	modified:   Makefile
	modified:   browse.html
	modified:   preamble.tex
	modified:   scripts/functions.py
	new file:   spaces-morphisms.tex
	modified:   spaces-properties.tex
	modified:   spaces.tex
	modified:   tags/Makefile

Tags: new tags added

	modified:   tags/tags

Properties of spaces: Etale sites and modules on algebraic spaces

	We finally caved in and defined both versions of the etale site
	of an algebraic space. What maybe makes this palatable is the
	little lemma on f-maps showing how to think about the
	relationship between sheaves upstairs and downstairs. Of course
	this lemma holds in some much greater generality, but for now we
	can leave it in this chapter as is.

	Also added some preparatory work on the structure sheaf on an
	algebraic space and quasi-coherent modules. Next up: pushforward
	of quasi-coherent sheaves are sometimes quasi-coherent, right?

	modified:   spaces-properties.tex