Talk:Noetherian topological space

The section on compactness was removed because Noetherian spaces are not necessarily compact. Indeed, the affine line is Noetherian, but not compact. —Preceding unsigned comment added by 98.248.125.245 (talk) 21:13, 9 November 2009 (UTC)


 * Exercise II.2.13a) of Hartshorne shows that X is Noetherian iff every open subset is (quasi)-compact. In view of this, I will revert your edit for now. If you are discussing a stronger notion of Noetherian, can you please provide a reference? Thanks. RobHar (talk) 21:51, 9 November 2009 (UTC)