Difference between revisions of "Density (of a topological space)"
From Encyclopedia of Mathematics
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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
Density (of a topological space). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Density_(of_a_topological_space)&oldid=42663