nowhere-dense


nowhere-dense
/noh"hwair dens", -wair-/, adj. Math.
(of a set in a topological space) having a closure that contains no open set with any points in it; nondense.

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Universalium. 2010.

Look at other dictionaries:

  • nowhere-dense — /noh hwair dens , wair /, adj. Math. (of a set in a topological space) having a closure that contains no open set with any points in it; nondense …   Useful english dictionary

  • Nowhere dense set — A subset A of a topological space X is nowhere dense in X if and only if the interior of the closure of A is empty. The order of operations is important. For example, the set of rational numbers, as a subset of R has the property that the closure …   Wikipedia

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  • Dense-in-itself — In mathematics, a subset A of a topological space is said to be dense in itself if A contains no isolated points. Every dense in itself closed set is perfect. Conversely, every perfect set is dense in itself. A simple example of a set which is… …   Wikipedia

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  • Ensemble dense nulle-part — Ensemble nulle part dense En topologie, un ensemble est nulle part dense ou rare[1] s il satisfait aux propriétés inverses du concept de densité. Intuitivement, un sous ensemble A d un espace topologique X est nulle part dense dans X si presque… …   Wikipédia en Français


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