General Topology

General topology, also known as point-set topology, is a branch of mathematics that studies the properties of space that are preserved under continuous transformations. It examines concepts like open and closed sets, limits, and convergence without requiring a specific geometric structure. By focusing on the foundational aspects of different kinds of spaces, general topology helps us understand how spaces behave and relate to one another. It is essential for advanced studies in various fields, including mathematics, physics, and computer science, where the concept of continuity and structure is significant.