Clopen Set - Mathematics & Logic - Pure Mathematics Dictionary Definition A subset of a topological space that is both open and closed simultaneously; equivalently, a set whose complement is also open (hence closed) and which equals both its interior and its closure.
Clopen Set - Mathematics & Logic - Pure Mathematics Dictionary Definition A subset of a topological space that is both open and closed simultaneously; equivalently, a set whose complement is also open (hence closed) and which equals both its interior and its closure.