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

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Michael Stemper

Posts: 671
Registered: 6/26/08
Re: Property related to denseness
Posted: Jan 14, 2013 1:55 PM
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In article <d2c170e4-b59b-4c73-8a73-24374fc8b6e1@googlegroups.com>, Paul <pepstein5@gmail.com> writes:

>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?

The trivial topology?

If these two Xs refer to the same thing, then I don't see how X could be
the intersection of more than one subset of X, and I don't see how that
subset could be anything other than X.

Michael F. Stemper
#include <Standard_Disclaimer>
2 + 2 = 5, for sufficiently large values of 2

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