Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 005E

Go back to the tag's page.

type time link
changed the proof 2011-08-13 4ea0b65
Whitespace changes
changed the proof 2010-02-25 ce16e66
Topology: Improvements

	Pointed out by Nava Chitrik
changed the statement and the proof 2009-10-22 69a7f5d
Topology: Fix error in lemma on existence closed point

	This was noticed by Cameron Franc. Here is the email:

	Dear project developers,

	Lemma 9.5 in the chapter on topological spaces says that "every
	nonempty quasi-compact topological space has a closed point".
	This is false: consider the trivial topology on a nonempty
	space.

	One needs to assume some mild separation axiom, for instance
	that for any two distinct points there is a closed set containing
	precisely one of the two points.

	The book is great! Keep up the good work,
	-cameron franc
assigned tag 005E 2009-05-16 fad2e12
Started tags infrastructure

	new file:   scripts/add_tags.py
	modified:   scripts/functions.py
	new file:   tags/initial_tags
	new file:   tags/tags
created statement with label lemma-quasi-compact-closed-point in topology.tex 2009-05-06 12e32e9
List of changes:
	Improved exposition colimits modules in algebra.tex
	Fixed typo on categories.tex
	Proof basic lemma cohomology P^n_R, R Noetherian
	Characterize affines by vanishing cohomology
	Cohmology commutes with directed colimits sometimes
	Typos constructions.tex
	Clarify quasi-affine section
	Ideals directed limit finite type ideals
	Characterize affines in properties.tex
	Closed points exist in quasi-compact spaces

	modified:   algebra.tex
	modified:   categories.tex
	modified:   coherent.tex
	modified:   cohomology.tex
	modified:   constructions.tex
	modified:   limits.tex
	modified:   modules.tex
	modified:   properties.tex
	modified:   topology.tex