Everywhere-dense set
From Encyclopedia of Mathematics
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=15938
Everywhere-dense set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Everywhere-dense_set&oldid=15938
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