👉 In mathematics, a nonsingular function is one for which there exists an open set around it such that its inverse image under any continuous function is still an open set. This means that the graph of the function is always connected and has no holes or jumps in its domain. For example, consider the function f(x) = x^2 on the interval [0, 1]. The graph of this function is a parabola opening upwards, which makes it nonsingular because there exists an open
