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Difference between revisions of "Density (of a topological space)"

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(relation to separability)
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One of the [[cardinal characteristic]]s of a [[topological space]].  The minimal [[cardinality]] of a [[dense set]].   
 
One of the [[cardinal characteristic]]s of a [[topological space]].  The minimal [[cardinality]] of a [[dense set]].   
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A [[separable space]] is one with countable density.
  
 
====References====
 
====References====
 
* Mary Ellen Rudin, ''Lectures on Set Theoretic Topology'', American Mathematical Society (1975) ISBN 0-8218-1673-X  {{ZBL|0318.54001}}
 
* Mary Ellen Rudin, ''Lectures on Set Theoretic Topology'', American Mathematical Society (1975) ISBN 0-8218-1673-X  {{ZBL|0318.54001}}

Revision as of 22:28, 31 December 2017

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=42663