Talk:Generic point

Closure of a point

The definition talks about the closure of a point, which doesn't make sense to me:

Formally, a generic point is a point P such that every point Q of X is a specialization of P, in the sense of the specialization order (or preorder): the closure of P is the entire set: it is dense.

Is this really correct? —Bromskloss (talk) 13:24, 11 July 2009 (UTC)

Yes. It's not useful when you have a Hausdorff space, but generic points occur in very different types of space. Charles Matthews (talk) 20:29, 11 July 2009 (UTC)

contrast

It may be helpful to amplify the introduction by contrasting a generic point and a closed point; then various occurrences of "closed point" (e.g, at Zariski topology) can be linked here. Tkuvho (talk) 17:38, 9 February 2011 (UTC)

More Examples

It would be good to have more examples, e.g. for a scheme which has several generic points. Spaetzle (talk) 09:22, 20 July 2011 (UTC)

History

I feel there should be some kind of introductory sentence in the section "history". You somewhat jump right into the story, and as a reader, I don't get the first paragraph at all. What, when, who and why? Seems like there were two concepts at the beginning. Which? And which of them was first? I don't get it. Spaetzle (talk) 10:00, 20 July 2011 (UTC)

In the sentence "the fiber above the special point is the special fiber, an important concept for example in reduction modulo p, monodromy theory and other theories about degeneration.", there is a hyperlink when clicking on the word 'degeneeration'. But this doesn't redirect appropriatly, it doesn't redirect to a page that has something to do with it. — Preceding unsigned comment added by 193.52.24.20 (talk) 16:15, 3 February 2013 (UTC)