👉 In mathematics, a subcompletion of a topological space X is defined as an extension that has the same topology and all limits exist. This means that if X is complete (in the sense that every subset of X has a limit point), then its completion is also complete. For example, consider the real numbers R with the usual topology. The subcompletions of R are the sets Q1 = {x ∈ R : x > 0}, Q2 = {x ∈ R :
