Closure of a subset in a topological space ↩

Metadata

aliases: []
shorthands: {"cla":"\text{cl}(A)"}
created: 2022-01-19 12:51:48
modified: 2022-01-19 16:06:15

Let

Then the closure of a is the intersection of all closed sets containing .

Note that is closed if and only if .

Points/elements

The following is true for every point of a closure¹:

if and only if for every neighborhood of ,