Interior of a subset in a topological space ↩

Metadata 
aliases: []
shorthands: {"int":"\text{int}(A)"}
created: 2022-01-19 13:06:24
modified: 2022-01-19 16:09:43

Let be a topological space and .

Then the interior of is the union of all open sets contained in .

Note that is open if and only if .

Points/elements

The following is true for every point of an interior:

if and only if there is a neighborhood of such that

Notation