Namespaces
Variants
Actions

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

From Encyclopedia of Mathematics
Jump to: navigation, search
m (→‎References: expand bibliodata)
 
(One intermediate revision by one other user not shown)
Line 4: Line 4:
  
 
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]].   
 +
 +
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}}

Latest revision as of 11:57, 23 November 2023

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