# Talk:Lindelöf space

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## Examples?

It would be cool if this article provided some examples of spaces that are and aren't Lindelöf. -76.22.99.215 06:10, 25 September 2007 (UTC)

## Products of Lindelöf Spaces

The following set of sets is presented as a cover for Sorgenfrey plane S

1. The set of all points (x, y) with x < y

2. The set of all points (x, y) with x + 1 > y

3. For each real x, the half-open rectangle [x, x + 2) × [−x, −x + 2)

But the two first set already cover all plane. In fact, for any point (x,y), either x<y or y ≤ x, so we have, for any point (x,y), x<y or y<x+1.

I think you meant:

1. The set of all points (x, y) with x < -y

2. The set of all points (x, y) with x - 1 > -y

3. For each real x, the half-open rectangle [x, x + 2) × [−x, −x + 2)

Then, the rest of the text is OK. —Preceding unsigned comment added by 189.25.30.180 (talk) 02:31, 30 January 2010 (UTC)