Date: Jan 12, 2013 6:41 PM Author: Paul Subject: Property related to denseness Let A be a subset of the topological space of X.

What is the standard terminology for the property that X = the intersection of all the open sets that contain A?

This seems related to A being dense in X but it is clearly not the same.

Is this a stronger property than denseness?

Where does this property stand in relation to denseness?

Thank you,

Paul Epstein