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Everywhere-dense set

From Encyclopedia of Mathematics
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in a topological space

A set described by the property , where denotes the closure of . In other words, any set open in contains at least one point of . The term "dense set in a topological spacedense set" is also employed.

How to Cite This Entry:
Everywhere-dense set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Everywhere-dense_set&oldid=28111
This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article