The Stacks project

Fallout from improved handling of fpqc sheaf property

Fallout from improved handling of fpqc sheaf property

ell check: words starting with s, t, S, or T

LaTeX: \Mor

	Introduced a macro

	\def\Mor{\mathop{\rm Mor}\nolimits}

	and replaced all the occurences of \text{Mor} with \Mor.

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.

Decent Algebraic Spaces

	Created a new chapter "Decent Algebraic Spaces" and moved most
	of the material on local conditions of algebraic spaces in
	there. In the next few commits we will fix the breakage that this
	causes.

	The reason for the move is that this material is difficult to
	understand for the beginner and that most of the other material
	in Properties of Spaces and Morphisms of Spaces is easier and
	more analogous to what happens for schemes.

	An added advantage is that we can use results on morphisms of
	algebraic spaces in the new chapter, hence it becomes easier to
	develop the theory of decent spaces.

End conversion of etale to \'etale.

Tags: Added new tags

	Mainly new tags for lemmas/propositions/theorems in the chapter
	on etale cohomology.

Properties of Spaces: Quasi-separated spaces and fpqc topology

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