👉 Nonconvergently, also known as divergently, is a mathematical concept in analysis and topology. It refers to a set of points that are not connected to any other point within the set. Nonconvergent sets allow for a distinction between connected and disconnected sets, which can be crucial in understanding the structure of topological spaces and their properties. Nonconvergently defined sets often appear in real-world scenarios where one object is considered more important than another due to its intrinsic value