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Density (of a topological space)

From Encyclopedia of Mathematics
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2020 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://encyclopediaofmath.org/index.php?title=Density_(of_a_topological_space)&oldid=42658