# Density (of a topological space)

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 54A25 [MSN][ZBL]

*density character*

One of the cardinal characteristics of a topological space. The minimal cardinality of a dense set.

A separable space is one with countable density.

#### References

- Mary Ellen Rudin,
*Lectures on Set Theoretic Topology*, American Mathematical Society (1975) ISBN 0-8218-1673-X Zbl 0318.54001

**How to Cite This Entry:**

Density (of a topological space).

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Density_(of_a_topological_space)&oldid=42663