Talk:Open property

definition
The given definition, on the face of it, seems sort of silly. All topological properties "depend on open sets". Has anyone ever heard of this? If not, I'm going to prod it. --Trovatore 03:42, 22 March 2006 (UTC)


 * You're right that the given definition is silly. But there does seem to be a notion of "open property", according to MathSciNet. For instance, this collection contains a paper with the title "Arc-analyticity is an open property". Unfortunately, I didn't find a definition anywhere, but I think it means a property which is true on an open subset, e.g., the property that a real matrix is invertible.
 * I'm not sure what to do with the article now. -- Jitse Niesen (talk) 06:32, 22 March 2006 (UTC)