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The Stacks project

History of tag 03L5

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changed the statement 2022-05-11 85e1292
Update sites.tex

Thanks to Alejandro González Nevado.

https://stacks.math.columbia.edu/tag/0GMQ#comment-7340
https://stacks.math.columbia.edu/tag/0GMR#comment-7341
https://stacks.math.columbia.edu/tag/0GMR#comment-7342

https://stacks.math.columbia.edu/tag/00WI#comment-7344
https://stacks.math.columbia.edu/tag/03CB#comment-7345
https://stacks.math.columbia.edu/tag/03L5#comment-7346
https://stacks.math.columbia.edu/tag/00XR#comment-7347
changed the statement 2011-08-11 f2e3127
LaTeX: \Sh

	Introduced the macro

	\def\Sh{\mathop{\textit{Sh}}\nolimits}

	and replaced all occurences of \textit{Sh} with \Sh.
changed the proof 2011-08-11 4c15ebf
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.
assigned tag 03L5 2009-12-17 8de7ea3
Tags: Added new tags

	Also commented obsolete tags corresponding to sections of
	desirables.tex that have been removed.
created statement with label lemma-composition-cocontinuous in sites.tex 2009-12-07 9f1a1fd
Properties of Spaces: etale morphisms of spaces and O_X-modules

	If X --> Y is an etale morphism of algebraic spaces, then
	pullback of O-modules is exact. This is true because the
	associated morphism of topoi is a localization.