Definition talk:Open Set (Metric Space)

This page is confusing because of the non-standard use of "neighborhood" to mean "open ball". A neighborhood of a point is just any set containing an open set containing that point.

In a general topological space maybe, but not from the sources I can find on a metric space. Where's your sources? Quote them. --prime mover 17:03, 27 October 2011 (CDT)