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=16528
Dense set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dense_set&oldid=16528
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article