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interior

Given a subset S of a topological space X, the biggest set of points in S not part of the boundary of S

Entityidempotent functionQ862761

Also known as interior of a set · open kernel · topological interior · geometric interior

Overview

All data

16 statements · 6% with external sources · numbers in brackets are citations

Defining formula
  • \operatorname{int}(S) = \bigcup \{ U \in \operatorname{Open}(X) | S \supseteq U \} = S \setminus\partial S

On other databases

7 identifiers linking interior across the web's reference databases