👉 In mathematics, "gauchery" is a mathematical concept related to the study of certain types of topological spaces. It refers to the fact that certain topological structures may behave in strange and unexpected ways under certain conditions. One example of such a structure is a "gauche topology." A gauchery space is a topological space where every open set is a closed set. This condition can be expressed as: ∀A ∈ Top, ∃U ⊆ A, ∅ ∈
