👉 In mathematics, a unlatticed set is a set that cannot be represented by any finite collection of disjoint non-empty sets. This concept is often used in topology and algebra to describe objects or structures that are not connected but can be constructed from other objects or structures. The term "unlatticed" refers to the fact that these objects or structures do not have any natural way to be represented as a union of finite collections of disjoint non-empty sets, which makes them uncountable.