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History of tag 02LR

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changed the statement and the proof 2020-06-19 e46229c
Slogan and remove exclamation points

Thanks to slogan_bot
https://stacks.math.columbia.edu/tag/02LR#comment-5119
changed the proof 2013-08-03 6cc7a5d
ell check: words starting with s, t, S, or T
changed the statement and the proof 2009-10-16 24e5661
More on Morphisms: Improved discussion on quasi-finite morphisms

	Now we use the material on normalization (in Morphisms) which
	was not available in the first pass on the structure of
	quasi-finite separated morphisms. In particular, using the fact
	that normalization commutes with etale base change improves the
	exposition and clarifies the proof. Not only that, it also gives
	a slightly more general result, namely, we do nnot even have to
	assume the morphism is quasi-finite at all. Just finite type and
	separated.

	Future addition: It seems quite possible that given a proper f :
	X --> S with S qc+qs then the normalization of S in X is just
	the spectrum of f_*O_X and moreover the fibres of the map to
	this normalization are connected. In other words, the connected
	fibres thing holds without assuming the base is Noetherian. It
	should be possible to prove this using the results on limits of
	schemes.

	modified:   more-morphisms.tex
changed the proof 2009-08-20 760ca2e
Renamed fpqc-descent.tex descent.tex

	modified:   Makefile
	modified:   algebraic.tex
	modified:   browse.html
	modified:   chapters.tex
	renamed:    fpqc-descent.tex -> descent.tex
	modified:   groupoids.tex
	modified:   more-morphisms.tex
	modified:   morphisms.tex
	modified:   preamble.tex
	modified:   scripts/functions.py
	modified:   spaces.tex
	modified:   stacks.tex
	modified:   tags/Makefile
	modified:   tags/tags
assigned tag 02LR 2009-06-15 76f13f6
Added new tags to the file tags/tags

	modified:   tags/tags
changed the proof 2009-06-15 79d88f7
Added: radicial + etale => open immersion
Added proof of: quasi-finite + separated => quasi-affine

	modified:   fpqc-descent.tex
	modified:   more-morphisms.tex
changed the proof 2009-06-12 b45c19f
Confused! More later

	modified:   more-morphisms.tex
	modified:   morphisms.tex
created statement with label lemma-quasi-finite-separated-quasi-affine in more-morphisms.tex 2009-06-11 91dafa5
Cohomolgoy and base change improved
Changed corresponding tags in tags/tags
Added more variants of etale localizing quasi-finite maps
Started section on structure of quasi-finite maps
Improved section on proper morphisms
Improved section on integra; and finite morphisms
Characterizing integral morphisms as universally closed and affine
Comment added to section on proper maps in topology

	modified:   coherent.tex
	modified:   more-morphisms.tex
	modified:   morphisms.tex
	modified:   schemes.tex
	modified:   tags/tags
	modified:   topology.tex