Topology

Catalog description

The three core components covered in the course are (i) Sets and Topologies, (ii) Properties of Topological Spaces and (iii) Functions between Topological Spaces. After completing this course, students should be able to: 1. Explain and restate theorems and definitions in different contexts and as they apply to special cases in each of the three components of the course.2. Identify which theorems and definitions apply to various situations in each of the three core components of the course. 3. Construct proofs in each of the three core components of the course. 4. Use the theorems and techniques to solve problems in each of the three core components of the course. This course is intended to provide students with an introduction to topology, as well as prepare them for graduate school in mathematics and other disciplines.