👉 In mathematics, a semirationalized structure is a set X that satisfies certain properties and can be considered as a model of a general topological space. This means that it has enough structure to define a metric space (a topological space with a distance function) and also satisfies some conditions related to the topology. A semirationalized structure is typically characterized by its ability to satisfy two important properties: uniform continuity and compactness. Uniform continuity ensures that every continuous function from X to R or