Difference between revisions of "Closed set"
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| + | ==Definitions== | ||
| + | ===Topology=== | ||
A closed set in a [[Topological space|topological space]] <math>(X,\mathcal{J})</math> is a set <math>A</math> where <math>X-A</math> is open. | A closed set in a [[Topological space|topological space]] <math>(X,\mathcal{J})</math> is a set <math>A</math> where <math>X-A</math> is open. | ||
| + | ===Metric space=== | ||
| + | In a metric space {{m|(X,d)}} | ||
{{Definition|Topology}} | {{Definition|Topology}} | ||
Revision as of 04:53, 15 February 2015
Definitions
Topology
A closed set in a topological space [math](X,\mathcal{J})[/math] is a set [math]A[/math] where [math]X-A[/math] is open.
Metric space
In a metric space [ilmath](X,d)[/ilmath]
