Dense set
From Encyclopedia of Mathematics
The same as an everywhere-dense set. More generally, a set 
is called dense in an open set 
of a space 
if 
is contained in the closure of 
or, which is the same, if 
is everywhere dense in the subspace 
. If 
is not dense in any non-empty open set 
, it is a nowhere-dense set in 
.
How to Cite This Entry:
Dense set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dense_set&oldid=28109
Dense set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dense_set&oldid=28109
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article