The Many Faces of Topology

Table of Contents Topology as a branch of mathematics is a bracket that encompasses many different parts of mathematics. It is sometimes even difficult to see what all these branches have to do with each other or why they are all called topology. This article aims to shed light on this question and briefly summarize the content of the many branches of topology. We start with a historical review and move from pure set topology through the various analytical and geometric aspects of topology to...