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one:

*If is the real numbers with the lower limit topology, then
*If one considers on the topology in which every set is open, then
*If one considers on the topology in which the only open sets are the empty set and itself, then is the empty set.

These examples show that the interior of a set depends upon the topology of the underlying space.The last two examples are special cases of the following.

*In any discrete space,

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