👉 Topological analysis is a branch of mathematics that deals with the study of properties of spaces and sets that are invariant under continuous transformations, such as homeomorphisms. It encompasses many areas in mathematics, including topology, algebraic geometry, and computer science. In topology, topological spaces are defined by their topologies, which are conditions on how to define open and closed sets. Topological spaces are fundamental in various branches of mathematics, including analysis, real analysis, functional analysis, and probability theory
