👉 In mathematics, a cosingular space is a topological space that is singular in the sense of singular homology. Specifically, it has non-zero cohomology groups. A cosingular space is defined as a space X with a continuous map f: X → [0, 1] (where [0, 1]) such that for every x ∈ X there exists ε > 0 such that |f(x)| ≥ ε. This means that the restriction of f to any open set
