Closed set: Difference between revisions
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In [[mathematics]], a set <math>A \subset X</math>, where <math>(X,O)</math> is some [[topological space]], is said to be closed if <math>X-A=\{x \in X \mid x \notin A\}</math>, the complement of <math>A</math> in <math>X</math>, is an [[open set]] | |||
== See also == | == See also == | ||
[[Topology]] | |||
[[Analysis]] | [[Analysis]] | ||
[[Category:Mathematics Workgroup]] | [[Category:Mathematics Workgroup]] | ||
Revision as of 07:13, 31 August 2007
In mathematics, a set , where is some topological space, is said to be closed if , the complement of in , is an open set
