This course provides an introduction to the study of topology, which is a branch of mathematics concerned with the study of the properties of objects that are preserved under continuous deformations. Topology is a fundamental area of mathematics that has many applications in fields such as physics, engineering, computer science, and economics. Upon completion of the course, students will have a solid foundation in the fundamental concepts and techniques of topology, and will be able to apply this knowledge to solve problems in a wide range of fields.