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nowhere dense (Definition)

In a topological space $ X$, a set $ A$ is called nowhere dense if the interior of its closure is empty: $ \operatorname{int} \overline{A} = \emptyset$.



"nowhere dense" is owned by ariels.
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Attachments:
examples of nowhere dense sets (Example) by Wkbj79
boundary of an open set is nowhere dense (Derivation) by CWoo
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Cross-references: closure, interior, topological space
There are 14 references to this entry.

This is version 2 of nowhere dense, born on 2002-06-04, modified 2002-06-05.
Object id is 3025, canonical name is NowhereDense.
Accessed 4312 times total.

Classification:
AMS MSC: 54A99 (General topology :: Generalities :: Miscellaneous)
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