Open Set - Mathematics & Logic - Pure Mathematics Dictionary Definition A subset U of a topological space (X, τ) that belongs to the topology τ; equivalently, for every point x in U there exists a neighborhood (an open set from τ) contained in U.
Open Set - Mathematics & Logic - Pure Mathematics Dictionary Definition A subset U of a topological space (X, τ) that belongs to the topology τ; equivalently, for every point x in U there exists a neighborhood (an open set from τ) contained in U.