Dense set

From Encyclopedia of Mathematics
Revision as of 17:17, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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:
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article