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Topic: Property related to denseness
Replies: 8   Last Post: Jan 16, 2013 4:34 PM

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Paul

Posts: 400
Registered: 7/12/10
Property related to denseness
Posted: Jan 12, 2013 6:41 PM
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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



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