nLab
generic point

Let XX be a topological space. A point xXx \in X is called generic if the closure {x}¯=X\overline{\{x\}} = X.

An integral scheme has a unique generic point, corresponding locally to the prime ideal (0)(0).

Last revised on May 30, 2013 at 02:16:17. See the history of this page for a list of all contributions to it.