Teorema de Urysohn

The Urysohn Lemma is a fundamental concept in topology, a branch of mathematics focused on space and shape. It states that in a normal topological space—where distinct closed sets can be separated by open neighborhoods—it's possible to create a continuous function that "measures" the distance between these closed sets. This function assigns a value between 0 and 1, being 0 on one closed set and 1 on the other, with all values in between smoothly changing in the rest of the space. This result is essential for understanding how different parts of a space can be distinguished and manipulated mathematically.