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Empty set - Open Encyclopedia (Site not responding. Last check: 2007-10-08) |
 | | The standard notation for denoting the empty set, invented by Nicholas Bourbaki, is the symbol |
 | | The boundary points in it, which are empty, are in the empty set, and the set is therefore closed, while the interior points in it, which are empty again, are the subset of the empty set, and the set is therefore open. |
 | | The empty set can be turned into a topological space in just one way (by defining the empty set to be open); this empty topological space is the unique initial object in the category of topological spaces with continuous maps. |
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