A subset 
of a topological space 
is dense in 
if its set closure is all of
, so
 |
Equivalently, every nonempty open set in 
intersects 
. For example, the rational
numbers are dense in the real numbers.
Dense Set
See also
Dense, Derived Set, Nowhere Dense, Perfect Set, Set ClosureExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Dense Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DenseSet.html