Definition
Closed Set
Topological Space
In a topological space, a set
is closed if its complement is an open set. Metric Space
In a metric space, this is equivalent to containing all limit points: for every convergent sequence
,
Closed Set
Topological Space
In a topological space, a set
is closed if its complement is an open set. Metric Space
In a metric space, this is equivalent to containing all limit points: for every convergent sequence
,